Search a number
-
+
10756096 = 21313101
BaseRepresentation
bin101001000010…
…000000000000
3202020110120221
4221002000000
510223143341
61022312424
7160265611
oct51020000
922213527
1010756096
11608723a
123728714
1322c7a70
1415ddc08
15e26ed1
hexa42000

10756096 has 56 divisors (see below), whose sum is σ = 23394924. Its totient is φ = 4915200.

The previous prime is 10756093. The next prime is 10756099. The reversal of 10756096 is 69065701.

It is an interprime number because it is at equal distance from previous prime (10756093) and next prime (10756099).

It can be written as a sum of positive squares in 2 ways, for example, as 10653696 + 102400 = 3264^2 + 320^2 .

It is a super-2 number, since 2×107560962 = 231387202322432, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (10756093) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106446 + ... + 106546.

Almost surely, 210756096 is an apocalyptic number.

10756096 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 10756096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11697462).

10756096 is an abundant number, since it is smaller than the sum of its proper divisors (12638828).

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

10756096 is an equidigital number, since it uses as much as digits as its factorization.

10756096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 10756096 is about 3279.6487616817. The cubic root of 10756096 is about 220.7419577185.

The spelling of 10756096 in words is "ten million, seven hundred fifty-six thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 101 104 128 202 208 256 404 416 512 808 832 1024 1313 1616 1664 2048 2626 3232 3328 4096 5252 6464 6656 8192 10504 12928 13312 21008 25856 26624 42016 51712 53248 84032 103424 106496 168064 206848 336128 413696 672256 827392 1344512 2689024 5378048 10756096