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12777136 = 2437113191
BaseRepresentation
bin110000101111…
…011010110000
3220001010221021
4300233122300
511232332021
61133505224
7213414061
oct60573260
926033837
1012777136
117237719
124342214
132854948
1419a8568
1511c5c41
hexc2f6b0

12777136 has 40 divisors (see below), whose sum is σ = 25784064. Its totient is φ = 6128640.

The previous prime is 12777133. The next prime is 12777151. The reversal of 12777136 is 63177721.

12777136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

Its product of digits (12348) is a multiple of the sum of its prime divisors (343).

It is not an unprimeable number, because it can be changed into a prime (12777133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66801 + ... + 66991.

Almost surely, 212777136 is an apocalyptic number.

12777136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12777136 is an abundant number, since it is smaller than the sum of its proper divisors (13006928).

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

12777136 is a wasteful number, since it uses less digits than its factorization.

12777136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its digits is 12348, while the sum is 34.

The square root of 12777136 is about 3574.5119946644. The cubic root of 12777136 is about 233.7820553330.

The spelling of 12777136 in words is "twelve million, seven hundred seventy-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 37 74 113 148 191 226 296 382 452 592 764 904 1528 1808 3056 4181 7067 8362 14134 16724 21583 28268 33448 43166 56536 66896 86332 113072 172664 345328 798571 1597142 3194284 6388568 12777136