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10087431 = 331791373
BaseRepresentation
bin100110011110…
…110000000111
3200222111100120
4212132300013
510040244211
61000113023
7151512264
oct46366007
920874316
1010087431
11576a922
123465773
1321225c3
1414a826b
15d43d06
hex99ec07

10087431 has 16 divisors (see below), whose sum is σ = 14069760. Its totient is φ = 6420960.

The previous prime is 10087411. The next prime is 10087459. The reversal of 10087431 is 13478001.

10087431 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10087431 - 27 = 10087303 is a prime.

It is a super-3 number, since 3×100874313 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10087411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6661 + ... + 8033.

It is an arithmetic number, because the mean of its divisors is an integer number (879360).

Almost surely, 210087431 is an apocalyptic number.

10087431 is a deficient number, since it is larger than the sum of its proper divisors (3982329).

10087431 is a wasteful number, since it uses less digits than its factorization.

10087431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 10087431 is about 3176.0716301746. The cubic root of 10087431 is about 216.0695292283.

The spelling of 10087431 in words is "ten million, eighty-seven thousand, four hundred thirty-one".

Divisors: 1 3 31 79 93 237 1373 2449 4119 7347 42563 108467 127689 325401 3362477 10087431