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10131456 = 21131797
BaseRepresentation
bin100110101001…
…100000000000
3201001201202010
4212221200000
510043201311
61001052520
7152054526
oct46514000
921051663
1010131456
11579aa05
123487140
13213965a
1414ba316
15d51da6
hex9a9800

10131456 has 96 divisors (see below), whose sum is σ = 28894320. Its totient is φ = 3145728.

The previous prime is 10131419. The next prime is 10131463. The reversal of 10131456 is 65413101.

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, 104400 + ... + 104496.

Almost surely, 210131456 is an apocalyptic number.

10131456 is a gapful number since it is divisible by the number (16) 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 10131456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14447160).

10131456 is an abundant number, since it is smaller than the sum of its proper divisors (18762864).

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

10131456 is an equidigital number, since it uses as much as digits as its factorization.

10131456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 10131456 is about 3182.9948162069. The cubic root of 10131456 is about 216.3834068296.

Adding to 10131456 its reverse (65413101), we get a palindrome (75544557).

The spelling of 10131456 in words is "ten million, one hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 97 102 128 136 192 194 204 256 272 291 384 388 408 512 544 582 768 776 816 1024 1088 1164 1536 1552 1632 1649 2048 2176 2328 3072 3104 3264 3298 4352 4656 4947 6144 6208 6528 6596 8704 9312 9894 12416 13056 13192 17408 18624 19788 24832 26112 26384 34816 37248 39576 49664 52224 52768 74496 79152 99328 104448 105536 148992 158304 198656 211072 297984 316608 422144 595968 633216 844288 1266432 1688576 2532864 3377152 5065728 10131456