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2150362720 = 2551110112097
BaseRepresentation
bin1000000000101011…
…1110111001100000
312112212021202002201
42000022332321200
513400443101340
6553213422544
7104200532032
oct20012767140
95485252081
102150362720
11a03907380
1250019aa54
1328367239c
14165839c52
15c8bb479a
hex802bee60

2150362720 has 96 divisors (see below), whose sum is σ = 5597405856. Its totient is φ = 774144000.

The previous prime is 2150362681. The next prime is 2150362723. The reversal of 2150362720 is 272630512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2150362723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171712 + ... + 183808.

It is an arithmetic number, because the mean of its divisors is an integer number (58306311).

Almost surely, 22150362720 is an apocalyptic number.

2150362720 is a gapful number since it is divisible by the number (20) 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 2150362720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798702928).

2150362720 is an abundant number, since it is smaller than the sum of its proper divisors (3447043136).

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

2150362720 is a wasteful number, since it uses less digits than its factorization.

2150362720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12224 (or 12216 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2150362720 is about 46372.0036228757. The cubic root of 2150362720 is about 1290.7354578703.

The spelling of 2150362720 in words is "two billion, one hundred fifty million, three hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 101 110 160 176 202 220 352 404 440 505 808 880 1010 1111 1616 1760 2020 2222 3232 4040 4444 5555 8080 8888 11110 12097 16160 17776 22220 24194 35552 44440 48388 60485 88880 96776 120970 133067 177760 193552 241940 266134 387104 483880 532268 665335 967760 1064536 1221797 1330670 1935520 2129072 2443594 2661340 4258144 4887188 5322680 6108985 9774376 10645360 12217970 13439767 19548752 21290720 24435940 26879534 39097504 48871880 53759068 67198835 97743760 107518136 134397670 195487520 215036272 268795340 430072544 537590680 1075181360 2150362720