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13371136 = 28192749
BaseRepresentation
bin110011000000…
…011100000000
3221011022202021
4303000130000
511410334021
61154331224
7221436622
oct63003400
927138667
1013371136
117602a29
124589b14
132a0211c
141ac0c12
151291c41
hexcc0700

13371136 has 36 divisors (see below), whose sum is σ = 28105000. Its totient is φ = 6331392.

The previous prime is 13371133. The next prime is 13371157. The reversal of 13371136 is 63117331.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13371136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13371131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3490 + ... + 6238.

Almost surely, 213371136 is an apocalyptic number.

13371136 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 13371136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14052500).

13371136 is an abundant number, since it is smaller than the sum of its proper divisors (14733864).

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

13371136 is an equidigital number, since it uses as much as digits as its factorization.

13371136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2770 counting only the distinct ones).

The product of its digits is 1134, while the sum is 25.

The square root of 13371136 is about 3656.6563962177. The cubic root of 13371136 is about 237.3501089294.

Adding to 13371136 its reverse (63117331), we get a palindrome (76488467).

The spelling of 13371136 in words is "thirteen million, three hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1216 2432 2749 4864 5498 10996 21992 43984 52231 87968 104462 175936 208924 351872 417848 703744 835696 1671392 3342784 6685568 13371136