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10556240 = 2451271039
BaseRepresentation
bin101000010001…
…001101010000
3201212022102212
4220101031100
510200244430
61014131252
7155504132
oct50211520
921768385
1010556240
115a60072
123650b28
132257ac6
14158b052
15dd7b95
hexa11350

10556240 has 40 divisors (see below), whose sum is σ = 24760320. Its totient is φ = 4185216.

The previous prime is 10556239. The next prime is 10556279. The reversal of 10556240 is 4265501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105562402 = 222868405875200, which contains 22 as substring.

It is a congruent number.

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, 9641 + ... + 10679.

It is an arithmetic number, because the mean of its divisors is an integer number (619008).

Almost surely, 210556240 is an apocalyptic number.

10556240 is a gapful number since it is divisible by the number (10) 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 10556240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12380160).

10556240 is an abundant number, since it is smaller than the sum of its proper divisors (14204080).

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

10556240 is a wasteful number, since it uses less digits than its factorization.

10556240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 10556240 is about 3249.0367803397. The cubic root of 10556240 is about 219.3662200256.

The spelling of 10556240 in words is "ten million, five hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1039 1270 2032 2078 2540 4156 5080 5195 8312 10160 10390 16624 20780 41560 83120 131953 263906 527812 659765 1055624 1319530 2111248 2639060 5278120 10556240