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10389888 = 273229311
BaseRepresentation
bin100111101000…
…100110000000
3201112212020200
4213220212000
510124434023
61010405200
7154212135
oct47504600
921485220
1010389888
115957093
123590800
1321ca182
14154658c
15da3743
hex9e8980

10389888 has 96 divisors (see below), whose sum is σ = 31028400. Its totient is φ = 3333120.

The previous prime is 10389881. The next prime is 10389889. The reversal of 10389888 is 88898301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10389881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33253 + ... + 33563.

Almost surely, 210389888 is an apocalyptic number.

10389888 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 10389888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15514200).

10389888 is an abundant number, since it is smaller than the sum of its proper divisors (20638512).

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

10389888 is a wasteful number, since it uses less digits than its factorization.

10389888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 10389888 is about 3223.3349189931. The cubic root of 10389888 is about 218.2078090249.

The spelling of 10389888 in words is "ten million, three hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 311 348 384 464 522 576 622 696 928 933 1044 1152 1244 1392 1856 1866 2088 2488 2784 2799 3712 3732 4176 4976 5568 5598 7464 8352 9019 9952 11136 11196 14928 16704 18038 19904 22392 27057 29856 33408 36076 39808 44784 54114 59712 72152 81171 89568 108228 119424 144304 162342 179136 216456 288608 324684 358272 432912 577216 649368 865824 1154432 1298736 1731648 2597472 3463296 5194944 10389888