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10130976 = 2532291213
BaseRepresentation
bin100110101001…
…011000100000
3201001201002100
4212221120200
510043142401
61001050400
7152053242
oct46513040
921051070
1010130976
11579a609
123486a00
13213937b
1414ba092
15d51b86
hex9a9620

10130976 has 72 divisors (see below), whose sum is σ = 29827980. Its totient is φ = 3257856.

The previous prime is 10130969. The next prime is 10130983. The reversal of 10130976 is 67903101.

It is an interprime number because it is at equal distance from previous prime (10130969) and next prime (10130983).

It can be written as a sum of positive squares in 2 ways, for example, as 9363600 + 767376 = 3060^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7746 + ... + 8958.

Almost surely, 210130976 is an apocalyptic number.

10130976 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 10130976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14913990).

10130976 is an abundant number, since it is smaller than the sum of its proper divisors (19697004).

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

10130976 is a wasteful number, since it uses less digits than its factorization.

10130976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 10130976 is about 3182.9194146255. The cubic root of 10130976 is about 216.3799895624.

The spelling of 10130976 in words is "ten million, one hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1213 1392 2088 2426 2784 3639 4176 4852 7278 8352 9704 10917 14556 19408 21834 29112 35177 38816 43668 58224 70354 87336 105531 116448 140708 174672 211062 281416 316593 349344 422124 562832 633186 844248 1125664 1266372 1688496 2532744 3376992 5065488 10130976