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151935007 = 7101311691
BaseRepresentation
bin10010000111001…
…01100000011111
3101120220002122111
421003211200133
5302343410012
623024254451
73523266130
oct1103454037
9346802574
10151935007
1178844024
1242a71427
1325628893
141626dc87
15d512ba7
hex90e581f

151935007 has 16 divisors (see below), whose sum is σ = 176177664. Its totient is φ = 128340000.

The previous prime is 151934989. The next prime is 151935011. The reversal of 151935007 is 700539151.

It is a cyclic number.

It is not a de Polignac number, because 151935007 - 219 = 151410719 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 151935007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151930007) 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, 219532 + ... + 220222.

It is an arithmetic number, because the mean of its divisors is an integer number (11011104).

Almost surely, 2151935007 is an apocalyptic number.

151935007 is a deficient number, since it is larger than the sum of its proper divisors (24242657).

151935007 is a wasteful number, since it uses less digits than its factorization.

151935007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110.

The product of its (nonzero) digits is 4725, while the sum is 31.

The square root of 151935007 is about 12326.1919099128. The cubic root of 151935007 is about 533.6042542389.

The spelling of 151935007 in words is "one hundred fifty-one million, nine hundred thirty-five thousand, seven".

Divisors: 1 7 101 311 691 707 2177 4837 31411 69791 214901 219877 488537 1504307 21705001 151935007