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10055240 = 2351361317
BaseRepresentation
bin100110010110…
…111001001000
3200220212012022
4212112321020
510033231430
6555304012
7151316366
oct46267110
920825168
1010055240
115748718
12344b008
132110a60
14149a636
15d394e5
hex996e48

10055240 has 64 divisors (see below), whose sum is σ = 24842160. Its totient is φ = 3640320.

The previous prime is 10055219. The next prime is 10055263. The reversal of 10055240 is 4255001.

It is a Cunningham number, because it is equal to 31712-1.

It can be written as a sum of positive squares in 8 ways, for example, as 31684 + 10023556 = 178^2 + 3166^2 .

It is a super-2 number, since 2×100552402 = 202215702915200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31562 + ... + 31878.

Almost surely, 210055240 is an apocalyptic number.

10055240 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 10055240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12421080).

10055240 is an abundant number, since it is smaller than the sum of its proper divisors (14786920).

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

10055240 is a wasteful number, since it uses less digits than its factorization.

10055240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 10055240 is about 3170.9998423210. Note that the first 3 decimals coincide. The cubic root of 10055240 is about 215.8394440147.

The spelling of 10055240 in words is "ten million, fifty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 244 260 305 317 488 520 610 634 793 1220 1268 1585 1586 2440 2536 3170 3172 3965 4121 6340 6344 7930 8242 12680 15860 16484 19337 20605 31720 32968 38674 41210 77348 82420 96685 154696 164840 193370 251381 386740 502762 773480 1005524 1256905 2011048 2513810 5027620 10055240