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11947968 = 263220743
BaseRepresentation
bin101101100100…
…111111000000
3211111000112100
4231210333000
511024313333
61104030400
7203361504
oct55447700
924430470
1011947968
11682075a
124002400
132624406
141830304
1510b0213
hexb64fc0

11947968 has 42 divisors (see below), whose sum is σ = 34248344. Its totient is φ = 3982464.

The previous prime is 11947961. The next prime is 11947973. The reversal of 11947968 is 86974911.

It is a happy number.

11947968 is a `hidden beast` number, since 119 + 479 + 68 = 666.

11947968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11947961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9796 + ... + 10947.

Almost surely, 211947968 is an apocalyptic number.

11947968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11947968 is an abundant number, since it is smaller than the sum of its proper divisors (22300376).

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

11947968 is a wasteful number, since it uses less digits than its factorization.

11947968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20761 (or 20748 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 11947968 is about 3456.5832841116. The cubic root of 11947968 is about 228.6114703659.

The spelling of 11947968 in words is "eleven million, nine hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 20743 41486 62229 82972 124458 165944 186687 248916 331888 373374 497832 663776 746748 995664 1327552 1493496 1991328 2986992 3982656 5973984 11947968