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10625742 = 234107613
BaseRepresentation
bin101000100010…
…001011001110
3201222211210000
4220202023032
510210010432
61015425130
7156213561
oct50421316
921884700
1010625742
115aa8306
1236851a6
13228062a
1415a84d8
15ded57c
hexa222ce

10625742 has 40 divisors (see below), whose sum is σ = 24071256. Its totient is φ = 3503088.

The previous prime is 10625717. The next prime is 10625759. The reversal of 10625742 is 24752601.

It is a super-2 number, since 2×106257422 = 225812786101128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17028 + ... + 17640.

Almost surely, 210625742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10625742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12035628).

10625742 is an abundant number, since it is smaller than the sum of its proper divisors (13445514).

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

10625742 is a wasteful number, since it uses less digits than its factorization.

10625742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 10625742 is about 3259.7150182186. The cubic root of 10625742 is about 219.8466010537.

The spelling of 10625742 in words is "ten million, six hundred twenty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 321 613 642 963 1226 1839 1926 2889 3678 5517 5778 8667 11034 16551 17334 33102 49653 65591 99306 131182 196773 393546 590319 1180638 1770957 3541914 5312871 10625742