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2009230704 = 243313715039
BaseRepresentation
bin111011111000010…
…0110110101110000
312012000201111101000
41313300212311300
513103330340304
6531212442000
7100535115315
oct16760466560
95160644330
102009230704
11941181848
12480a79300
13260359a10
14150bbcd0c
15bb5d7939
hex77c26d70

2009230704 has 160 divisors (see below), whose sum is σ = 6299596800. Its totient is φ = 609396480.

The previous prime is 2009230703. The next prime is 2009230759. The reversal of 2009230704 is 4070329002.

It is a super-3 number, since 3×20092307043 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009230703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396217 + ... + 401255.

It is an arithmetic number, because the mean of its divisors is an integer number (39372480).

Almost surely, 22009230704 is an apocalyptic number.

2009230704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009230704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149798400).

2009230704 is an abundant number, since it is smaller than the sum of its proper divisors (4290366096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2009230704 is a wasteful number, since it uses less digits than its factorization.

2009230704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140 (or 5128 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2009230704 is about 44824.4431532618. The cubic root of 2009230704 is about 1261.8564018772.

Adding to 2009230704 its reverse (4070329002), we get a palindrome (6079559706).

The spelling of 2009230704 in words is "two billion, nine million, two hundred thirty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 71 72 78 104 108 117 142 144 156 208 213 216 234 284 312 351 426 432 468 568 624 639 702 852 923 936 1136 1278 1404 1704 1846 1872 1917 2556 2769 2808 3408 3692 3834 5039 5112 5538 5616 7384 7668 8307 10078 10224 11076 14768 15117 15336 16614 20156 22152 24921 30234 30672 33228 40312 44304 45351 49842 60468 65507 66456 80624 90702 99684 120936 131014 132912 136053 181404 196521 199368 241872 262028 272106 357769 362808 393042 398736 524056 544212 589563 715538 725616 786084 1048112 1073307 1088424 1179126 1431076 1572168 1768689 2146614 2176848 2358252 2862152 3144336 3219921 3537378 4293228 4650997 4716504 5724304 6439842 7074756 8586456 9301994 9433008 9659763 12879684 13952991 14149512 17172912 18603988 19319526 25759368 27905982 28299024 37207976 38639052 41858973 51518736 55811964 74415952 77278104 83717946 111623928 125576919 154556208 167435892 223247856 251153838 334871784 502307676 669743568 1004615352 2009230704