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10295712 = 253275107
BaseRepresentation
bin100111010001…
…100110100000
3201101002001200
4213101212200
510113430322
61004401200
7153340440
oct47214640
921332050
1010295712
1158a2359
123546200
13219634b
141520120
15d858ac
hex9d19a0

10295712 has 72 divisors (see below), whose sum is σ = 33467616. Its totient is φ = 2941056.

The previous prime is 10295707. The next prime is 10295723. The reversal of 10295712 is 21759201.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 538 + ... + 4569.

It is an arithmetic number, because the mean of its divisors is an integer number (464828).

Almost surely, 210295712 is an apocalyptic number.

10295712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10295712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16733808).

10295712 is an abundant number, since it is smaller than the sum of its proper divisors (23171904).

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

10295712 is a wasteful number, since it uses less digits than its factorization.

10295712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5130 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 10295712 is about 3208.6931919397. The cubic root of 10295712 is about 217.5465140313.

The spelling of 10295712 in words is "ten million, two hundred ninety-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 5107 10214 15321 20428 30642 35749 40856 45963 61284 71498 81712 91926 107247 122568 142996 163424 183852 214494 245136 285992 321741 367704 428988 490272 571984 643482 735408 857976 1143968 1286964 1470816 1715952 2573928 3431904 5147856 10295712