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10055640 = 2335711971
BaseRepresentation
bin100110010110…
…111111011000
3200220212202010
4212112333120
510033240030
6555305520
7151320510
oct46267730
920825663
1010055640
115748a51
12344b2a0
132110caa
14149a840
15d396b0
hex996fd8

10055640 has 64 divisors (see below), whose sum is σ = 34479360. Its totient is φ = 2298240.

The previous prime is 10055629. The next prime is 10055651. The reversal of 10055640 is 4655001.

10055640 = T427 + T428 + ... + T516.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10055629) and next prime (10055651).

It is a super-2 number, since 2×100556402 = 202231791619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 5146 + ... + 6825.

It is an arithmetic number, because the mean of its divisors is an integer number (538740).

Almost surely, 210055640 is an apocalyptic number.

10055640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10055640 is an abundant number, since it is smaller than the sum of its proper divisors (24423720).

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

10055640 is a wasteful number, since it uses less digits than its factorization.

10055640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11992 (or 11988 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 10055640 is about 3171.0629132832. The cubic root of 10055640 is about 215.8423060260.

The spelling of 10055640 in words is "ten million, fifty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 11971 23942 35913 47884 59855 71826 83797 95768 119710 143652 167594 179565 239420 251391 287304 335188 359130 418985 478840 502782 670376 718260 837970 1005564 1256955 1436520 1675940 2011128 2513910 3351880 5027820 10055640