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10139008 = 271119379
BaseRepresentation
bin100110101011…
…010110000000
3201002010002211
4212223112000
510043422013
61001151504
7152115535
oct46532600
921063084
1010139008
1157a5650
12348b594
13213cc19
1414bcd8c
15d5423d
hex9ab580

10139008 has 64 divisors (see below), whose sum is σ = 23256000. Its totient is φ = 4354560.

The previous prime is 10138991. The next prime is 10139023. The reversal of 10139008 is 80093101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a self number, because there is not a number n which added to its sum of digits gives 10139008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26563 + ... + 26941.

It is an arithmetic number, because the mean of its divisors is an integer number (363375).

Almost surely, 210139008 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 10139008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11628000).

10139008 is an abundant number, since it is smaller than the sum of its proper divisors (13116992).

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

10139008 is a wasteful number, since it uses less digits than its factorization.

10139008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 10139008 is about 3184.1808993837. The cubic root of 10139008 is about 216.4371576307.

The spelling of 10139008 in words is "ten million, one hundred thirty-nine thousand, eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 379 418 608 704 758 836 1216 1408 1516 1672 2432 3032 3344 4169 6064 6688 7201 8338 12128 13376 14402 16676 24256 26752 28804 33352 48512 57608 66704 79211 115216 133408 158422 230432 266816 316844 460864 533632 633688 921728 1267376 2534752 5069504 10139008