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10125960 = 2335136491
BaseRepresentation
bin100110101000…
…001010001000
3201001110012120
4212220022020
510043012320
61001011240
7152032515
oct46501210
921043176
1010125960
115796869
123483b20
132136cc0
1414b830c
15d50440
hex9a8288

10125960 has 64 divisors (see below), whose sum is σ = 32719680. Its totient is φ = 2492160.

The previous prime is 10125953. The next prime is 10125971. The reversal of 10125960 is 6952101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10125960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1686 + ... + 4805.

It is an arithmetic number, because the mean of its divisors is an integer number (511245).

Almost surely, 210125960 is an apocalyptic number.

10125960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10125960 is an abundant number, since it is smaller than the sum of its proper divisors (22593720).

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

10125960 is a wasteful number, since it uses less digits than its factorization.

10125960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6518 (or 6514 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 10125960 is about 3182.1313612106. The cubic root of 10125960 is about 216.3442726613.

The spelling of 10125960 in words is "ten million, one hundred twenty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 6491 12982 19473 25964 32455 38946 51928 64910 77892 84383 97365 129820 155784 168766 194730 253149 259640 337532 389460 421915 506298 675064 778920 843830 1012596 1265745 1687660 2025192 2531490 3375320 5062980 10125960