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13703936 = 28199269
BaseRepresentation
bin110100010001…
…101100000000
3221210020021012
4310101230000
512002011221
61205420052
7224324111
oct64215400
927706235
1013703936
11780aa74
12470a628
132aba74c
141b6a208
15130a65b
hexd11b00

13703936 has 36 divisors (see below), whose sum is σ = 27594000. Its totient is φ = 6792192.

The previous prime is 13703933. The next prime is 13703941. The reversal of 13703936 is 63930731.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13703933) 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, 50810 + ... + 51078.

It is an arithmetic number, because the mean of its divisors is an integer number (766500).

Almost surely, 213703936 is an apocalyptic number.

13703936 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 13703936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13797000).

13703936 is an abundant number, since it is smaller than the sum of its proper divisors (13890064).

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

13703936 is an equidigital number, since it uses as much as digits as its factorization.

13703936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 32.

The square root of 13703936 is about 3701.8827642161. The cubic root of 13703936 is about 239.3031638910.

The spelling of 13703936 in words is "thirteen million, seven hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 199 256 269 398 538 796 1076 1592 2152 3184 4304 6368 8608 12736 17216 25472 34432 50944 53531 68864 107062 214124 428248 856496 1712992 3425984 6851968 13703936