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13895712 = 25351787
BaseRepresentation
bin110101000000…
…100000100000
3222010222100000
4311000200200
512024130322
61213500000
7226053165
oct65004040
928128300
1013895712
117931066
1247a1600
132b56b1c
141bba06c
1513473ac
hexd40820

13895712 has 72 divisors (see below), whose sum is σ = 41002416. Its totient is φ = 4629312.

The previous prime is 13895701. The next prime is 13895737. The reversal of 13895712 is 21759831.

13895712 is a `hidden beast` number, since 1 + 3 + 89 + 571 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6883 + ... + 8669.

It is an arithmetic number, because the mean of its divisors is an integer number (569478).

Almost surely, 213895712 is an apocalyptic number.

13895712 is a gapful number since it is divisible by the number (12) 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 13895712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20501208).

13895712 is an abundant number, since it is smaller than the sum of its proper divisors (27106704).

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

13895712 is an equidigital number, since it uses as much as digits as its factorization.

13895712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1792 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 13895712 is about 3727.6952665152. The cubic root of 13895712 is about 240.4142844568.

The spelling of 13895712 in words is "thirteen million, eight hundred ninety-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1787 1944 2592 3574 3888 5361 7148 7776 10722 14296 16083 21444 28592 32166 42888 48249 57184 64332 85776 96498 128664 144747 171552 192996 257328 289494 385992 434241 514656 578988 771984 868482 1157976 1543968 1736964 2315952 3473928 4631904 6947856 13895712