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10055040 = 27355237
BaseRepresentation
bin100110010110…
…110110000000
3200220211220220
4212112312000
510033230130
6555303040
7151315662
oct46266600
920824826
1010055040
115748556
12344aa80
132110938
14149a532
15d39410
hex996d80

10055040 has 64 divisors (see below), whose sum is σ = 32056560. Its totient is φ = 2680832.

The previous prime is 10055033. The next prime is 10055051. The reversal of 10055040 is 4055001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×100550402 = 202207658803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 699 + ... + 4538.

Almost surely, 210055040 is an apocalyptic number.

10055040 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 10055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16028280).

10055040 is an abundant number, since it is smaller than the sum of its proper divisors (22001520).

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

10055040 is an equidigital number, since it uses as much as digits as its factorization.

10055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5259 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 10055040 is about 3170.9683063695. The cubic root of 10055040 is about 215.8380129806.

The spelling of 10055040 in words is "ten million, fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 5237 10474 15711 20948 26185 31422 41896 52370 62844 78555 83792 104740 125688 157110 167584 209480 251376 314220 335168 418960 502752 628440 670336 837920 1005504 1256880 1675840 2011008 2513760 3351680 5027520 10055040