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10071464 = 2313113857
BaseRepresentation
bin100110011010…
…110110101000
3200221200110012
4212122312220
510034241324
6555511052
7151414604
oct46326650
920850405
1010071464
115759927
123458488
132118260
1414a2504
15d3e20e
hex99ada8

10071464 has 32 divisors (see below), whose sum is σ = 20540520. Its totient is φ = 4601856.

The previous prime is 10071433. The next prime is 10071487. The reversal of 10071464 is 46417001.

10071464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6300100 + 3771364 = 2510^2 + 1942^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11324 + ... + 12180.

Almost surely, 210071464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10071464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10270260).

10071464 is an abundant number, since it is smaller than the sum of its proper divisors (10469056).

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

10071464 is a wasteful number, since it uses less digits than its factorization.

10071464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 10071464 is about 3173.5569949191. The cubic root of 10071464 is about 215.9554663562.

Adding to 10071464 its reverse (46417001), we get a palindrome (56488465).

The spelling of 10071464 in words is "ten million, seventy-one thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 113 226 452 857 904 1469 1714 2938 3428 5876 6856 11141 11752 22282 44564 89128 96841 193682 387364 774728 1258933 2517866 5035732 10071464