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10715136 = 2153109
BaseRepresentation
bin101000111000…
…000000000000
3202011101101220
4220320000000
510220341021
61021355040
7160035315
oct50700000
922141356
1010715136
116059493
123708a80
1322b2223
1415ccd0c
15e19cc6
hexa38000

10715136 has 64 divisors (see below), whose sum is σ = 28835400. Its totient is φ = 3538944.

The previous prime is 10715129. The next prime is 10715137. The reversal of 10715136 is 63151701.

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

It is a super-2 number, since 2×107151362 = 229628278996992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10715137) 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, 98250 + ... + 98358.

Almost surely, 210715136 is an apocalyptic number.

10715136 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 10715136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14417700).

10715136 is an abundant number, since it is smaller than the sum of its proper divisors (18120264).

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

10715136 is an frugal number, since it uses more digits than its factorization.

10715136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 10715136 is about 3273.3982342514. The cubic root of 10715136 is about 220.4614007846.

Adding to 10715136 its reverse (63151701), we get a palindrome (73866837).

The spelling of 10715136 in words is "ten million, seven hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 256 327 384 436 512 654 768 872 1024 1308 1536 1744 2048 2616 3072 3488 4096 5232 6144 6976 8192 10464 12288 13952 16384 20928 24576 27904 32768 41856 49152 55808 83712 98304 111616 167424 223232 334848 446464 669696 892928 1339392 1785856 2678784 3571712 5357568 10715136