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115972465 = 5725971113
BaseRepresentation
bin1101110100110…
…01100101110001
322002020000022111
412322121211301
5214142104330
615301405321
72605515100
oct672314561
9262200274
10115972465
115a510914
1232a09841
131b04697b
141158c037
15a2ac32a
hex6e99971

115972465 has 48 divisors (see below), whose sum is σ = 168428160. Its totient is φ = 76392960.

The previous prime is 115972459. The next prime is 115972469. The reversal of 115972465 is 564279511.

It is not a de Polignac number, because 115972465 - 211 = 115970417 is a prime.

It is a super-3 number, since 3×1159724653 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (115972469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1026249 + ... + 1026361.

It is an arithmetic number, because the mean of its divisors is an integer number (3508920).

Almost surely, 2115972465 is an apocalyptic number.

It is an amenable number.

115972465 is a deficient number, since it is larger than the sum of its proper divisors (52455695).

115972465 is a wasteful number, since it uses less digits than its factorization.

115972465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 255 counting only the distinct ones).

The product of its digits is 75600, while the sum is 40.

The square root of 115972465 is about 10769.0512581193. The cubic root of 115972465 is about 487.6613045001.

The spelling of 115972465 in words is "one hundred fifteen million, nine hundred seventy-two thousand, four hundred sixty-five".

Divisors: 1 5 7 35 49 59 71 113 245 295 355 413 497 565 791 2065 2485 2891 3479 3955 4189 5537 6667 8023 14455 17395 20945 27685 29323 33335 40115 46669 56161 146615 205261 233345 280805 326683 393127 473357 1026305 1633415 1965635 2366785 3313499 16567495 23194493 115972465