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87431407 = 71937109163
BaseRepresentation
bin1010011011000…
…01100011101111
320002111222100021
411031201203233
5134340301112
612401543011
72111104030
oct515414357
9202458307
1087431407
1145397568
1225344a67
1315162a7b
14b87ca87
157a20907
hex53618ef

87431407 has 32 divisors (see below), whose sum is σ = 109683200. Its totient is φ = 68024448.

The previous prime is 87431401. The next prime is 87431413. The reversal of 87431407 is 70413478.

It is an interprime number because it is at equal distance from previous prime (87431401) and next prime (87431413).

It is a 12-Lehmer number, since φ(87431407) divides (87431407-1)12.

It is a cyclic number.

It is not a de Polignac number, because 87431407 - 211 = 87429359 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87431401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536308 + ... + 536470.

It is an arithmetic number, because the mean of its divisors is an integer number (3427600).

Almost surely, 287431407 is an apocalyptic number.

87431407 is the 5399-th hex number.

87431407 is a deficient number, since it is larger than the sum of its proper divisors (22251793).

87431407 is a wasteful number, since it uses less digits than its factorization.

87431407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335.

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 87431407 is about 9350.4762980289. The cubic root of 87431407 is about 443.8359629270.

The spelling of 87431407 in words is "eighty-seven million, four hundred thirty-one thousand, four hundred seven".

Divisors: 1 7 19 37 109 133 163 259 703 763 1141 2071 3097 4033 4921 6031 14497 17767 21679 28231 42217 76627 114589 124369 337573 536389 657379 802123 2363011 4601653 12490201 87431407