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11957136 = 243249107
BaseRepresentation
bin101101100111…
…001110010000
3211111111002220
4231213032100
511030112021
61104141040
7203430312
oct55471620
924444086
1011957136
116827634
124007780
132628639
1418337b2
1510b2cc6
hexb67390

11957136 has 20 divisors (see below), whose sum is σ = 30889392. Its totient is φ = 3985696.

The previous prime is 11957131. The next prime is 11957147. The reversal of 11957136 is 63175911.

It is a happy number.

11957136 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11957097 and 11957106.

It is not an unprimeable number, because it can be changed into a prime (11957131) 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, 124506 + ... + 124601.

Almost surely, 211957136 is an apocalyptic number.

11957136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11957136 is an abundant number, since it is smaller than the sum of its proper divisors (18932256).

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

11957136 is a wasteful number, since it uses less digits than its factorization.

11957136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249118 (or 249112 counting only the distinct ones).

The product of its digits is 5670, while the sum is 33.

The square root of 11957136 is about 3457.9091948748. The cubic root of 11957136 is about 228.6699286774.

The spelling of 11957136 in words is "eleven million, nine hundred fifty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 249107 498214 747321 996428 1494642 1992856 2989284 3985712 5978568 11957136