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2071146024 = 233416719139
BaseRepresentation
bin111101101110011…
…0010111000101000
312100100020010020000
41323130302320220
513220203133044
6541303503000
7102216310413
oct17334627050
95310203200
102071146024
11973120732
12499757a60
132701276bc
141590d8b7a
15c1c67d69
hex7b732e28

2071146024 has 80 divisors (see below), whose sum is σ = 5836168800. Its totient is φ = 686212128.

The previous prime is 2071146019. The next prime is 2071146029. The reversal of 2071146024 is 4206411702.

It is an interprime number because it is at equal distance from previous prime (2071146019) and next prime (2071146029).

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

It is not an unprimeable number, because it can be changed into a prime (2071146029) 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 19 ways as a sum of consecutive naturals, for example, 98647 + ... + 117785.

It is an arithmetic number, because the mean of its divisors is an integer number (72952110).

Almost surely, 22071146024 is an apocalyptic number.

2071146024 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 2071146024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918084400).

2071146024 is an abundant number, since it is smaller than the sum of its proper divisors (3765022776).

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

2071146024 is a wasteful number, since it uses less digits than its factorization.

2071146024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19324 (or 19311 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2071146024 is about 45509.8453524070. The cubic root of 2071146024 is about 1274.6870484512.

Adding to 2071146024 its reverse (4206411702), we get a palindrome (6277557726).

The spelling of 2071146024 in words is "two billion, seventy-one million, one hundred forty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 167 216 324 334 501 648 668 1002 1336 1503 2004 3006 4008 4509 6012 9018 12024 13527 18036 19139 27054 36072 38278 54108 57417 76556 108216 114834 153112 172251 229668 344502 459336 516753 689004 1033506 1378008 1550259 2067012 3100518 3196213 4134024 6201036 6392426 9588639 12402072 12784852 19177278 25569704 28765917 38354556 57531834 76709112 86297751 115063668 172595502 230127336 258893253 345191004 517786506 690382008 1035573012 2071146024