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10055520 = 253256983
BaseRepresentation
bin100110010110…
…111101100000
3200220212120200
4212112331200
510033234040
6555305200
7151320246
oct46267540
920825520
1010055520
115748952
12344b200
132110c17
14149a796
15d39630
hex996f60

10055520 has 72 divisors (see below), whose sum is σ = 34319376. Its totient is φ = 2681088.

The previous prime is 10055519. The next prime is 10055569. The reversal of 10055520 is 2555001.

10055520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×100555202 = 202226964940800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10055493 and 10055502.

It is a congruent number.

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, 2052 + ... + 4931.

It is an arithmetic number, because the mean of its divisors is an integer number (476658).

Almost surely, 210055520 is an apocalyptic number.

10055520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10055520 is an abundant number, since it is smaller than the sum of its proper divisors (24263856).

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

10055520 is a wasteful number, since it uses less digits than its factorization.

10055520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7004 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 10055520 is about 3171.0439921263. The cubic root of 10055520 is about 215.8414474306.

The spelling of 10055520 in words is "ten million, fifty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 6983 13966 20949 27932 34915 41898 55864 62847 69830 83796 104745 111728 125694 139660 167592 209490 223456 251388 279320 314235 335184 418980 502776 558640 628470 670368 837960 1005552 1117280 1256940 1675920 2011104 2513880 3351840 5027760 10055520