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10055988 = 223441757
BaseRepresentation
bin100110010111…
…000100110100
3200220220020000
4212113010310
510033242423
6555311300
7151321515
oct46270464
920826200
1010055988
115749238
12344b530
1321111b7
14149aa0c
15d39843
hex997134

10055988 has 60 divisors (see below), whose sum is σ = 26965092. Its totient is φ = 3265920.

The previous prime is 10055977. The next prime is 10055999. The reversal of 10055988 is 88955001.

It is an interprime number because it is at equal distance from previous prime (10055977) and next prime (10055999).

It can be written as a sum of positive squares in 2 ways, for example, as 2862864 + 7193124 = 1692^2 + 2682^2 .

It is a super-2 number, since 2×100559882 = 202245789312288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 12906 + ... + 13662.

Almost surely, 210055988 is an apocalyptic number.

10055988 is a gapful number since it is divisible by the number (18) 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 10055988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13482546).

10055988 is an abundant number, since it is smaller than the sum of its proper divisors (16909104).

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

10055988 is a wasteful number, since it uses less digits than its factorization.

10055988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 10055988 is about 3171.1177839998. The cubic root of 10055988 is about 215.8447959142.

The spelling of 10055988 in words is "ten million, fifty-five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 757 1107 1476 1514 2214 2271 3028 3321 4428 4542 6642 6813 9084 13284 13626 20439 27252 31037 40878 61317 62074 81756 93111 122634 124148 186222 245268 279333 372444 558666 837999 1117332 1675998 2513997 3351996 5027994 10055988