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10539008 = 2123183
BaseRepresentation
bin101000001101…
…000000000000
3201211102210122
4220031000000
510144222013
61013515412
7155402654
oct50150000
921742718
1010539008
115a49127
123642b68
13224cccc
141584a64
15dd2a08
hexa0d000

10539008 has 52 divisors (see below), whose sum is σ = 22017408. Its totient is φ = 5038080.

The previous prime is 10539007. The next prime is 10539013. The reversal of 10539008 is 80093501.

It is a super-2 number, since 2×105390082 = 222141379248128, which contains 22 as substring.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10539007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126935 + ... + 127017.

Almost surely, 210539008 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 10539008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11008704).

10539008 is an abundant number, since it is smaller than the sum of its proper divisors (11478400).

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

10539008 is an frugal number, since it uses more digits than its factorization.

10539008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 10539008 is about 3246.3838343609. The cubic root of 10539008 is about 219.2467905868.

The spelling of 10539008 in words is "ten million, five hundred thirty-nine thousand, eight".

Divisors: 1 2 4 8 16 31 32 62 64 83 124 128 166 248 256 332 496 512 664 992 1024 1328 1984 2048 2573 2656 3968 4096 5146 5312 7936 10292 10624 15872 20584 21248 31744 41168 42496 63488 82336 84992 126976 164672 169984 329344 339968 658688 1317376 2634752 5269504 10539008