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11877968 = 241743669
BaseRepresentation
bin101101010011…
…111001010000
3211100110111202
4231103321100
511020043333
61102330332
7202650434
oct55237120
924313452
1011877968
116783103
123b899a8
1325cb5ab
1418129c4
1510995e8
hexb53e50

11877968 has 20 divisors (see below), whose sum is σ = 24367860. Its totient is φ = 5589504.

The previous prime is 11877953. The next prime is 11877997. The reversal of 11877968 is 86977811.

11877968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7246864 + 4631104 = 2692^2 + 2152^2 .

It is a super-2 number, since 2×118779682 = 282172247618048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21563 + ... + 22106.

It is an arithmetic number, because the mean of its divisors is an integer number (1218393).

Almost surely, 211877968 is an apocalyptic number.

It is an amenable number.

11877968 is an abundant number, since it is smaller than the sum of its proper divisors (12489892).

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

11877968 is a wasteful number, since it uses less digits than its factorization.

11877968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43694 (or 43688 counting only the distinct ones).

The product of its digits is 169344, while the sum is 47.

The square root of 11877968 is about 3446.4428038196. The cubic root of 11877968 is about 228.1641374773.

The spelling of 11877968 in words is "eleven million, eight hundred seventy-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 43669 87338 174676 349352 698704 742373 1484746 2969492 5938984 11877968