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10389504 = 21131989
BaseRepresentation
bin100111101000…
…100000000000
3201112211201110
4213220200000
510124431004
61010403320
7154211046
oct47504000
921484643
1010389504
115956874
123590540
1321c9c48
141546396
15da3589
hex9e8800

10389504 has 96 divisors (see below), whose sum is σ = 29484000. Its totient is φ = 3244032.

The previous prime is 10389497. The next prime is 10389517. The reversal of 10389504 is 40598301.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116692 + ... + 116780.

It is an arithmetic number, because the mean of its divisors is an integer number (307125).

Almost surely, 210389504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10389504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742000).

10389504 is an abundant number, since it is smaller than the sum of its proper divisors (19094496).

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

10389504 is an equidigital number, since it uses as much as digits as its factorization.

10389504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 10389504 is about 3223.2753528050. The cubic root of 10389504 is about 218.2051207434.

The spelling of 10389504 in words is "ten million, three hundred eighty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 89 96 114 128 152 178 192 228 256 267 304 356 384 456 512 534 608 712 768 912 1024 1068 1216 1424 1536 1691 1824 2048 2136 2432 2848 3072 3382 3648 4272 4864 5073 5696 6144 6764 7296 8544 9728 10146 11392 13528 14592 17088 19456 20292 22784 27056 29184 34176 38912 40584 45568 54112 58368 68352 81168 91136 108224 116736 136704 162336 182272 216448 273408 324672 432896 546816 649344 865792 1298688 1731584 2597376 3463168 5194752 10389504