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11939360 = 255711051
BaseRepresentation
bin101101100010…
…111000100000
3211110120201112
4231202320200
511024024420
61103522452
7203324426
oct55427040
924416645
1011939360
116815244
123bb9428
132620514
14182b116
1510ac8c5
hexb62e20

11939360 has 48 divisors (see below), whose sum is σ = 28631232. Its totient is φ = 4704000.

The previous prime is 11939351. The next prime is 11939377. The reversal of 11939360 is 6393911.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10835 + ... + 11885.

It is an arithmetic number, because the mean of its divisors is an integer number (596484).

Almost surely, 211939360 is an apocalyptic number.

11939360 is a gapful number since it is divisible by the number (10) 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 11939360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14315616).

11939360 is an abundant number, since it is smaller than the sum of its proper divisors (16691872).

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

11939360 is a wasteful number, since it uses less digits than its factorization.

11939360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 32.

The square root of 11939360 is about 3455.3378995404. The cubic root of 11939360 is about 228.5565555799.

The spelling of 11939360 in words is "eleven million, nine hundred thirty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1051 1136 1420 2102 2272 2840 4204 5255 5680 8408 10510 11360 16816 21020 33632 42040 74621 84080 149242 168160 298484 373105 596968 746210 1193936 1492420 2387872 2984840 5969680 11939360