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11917296 = 243282759
BaseRepresentation
bin101101011101…
…011111110000
3211102110110100
4231131133300
511022323141
61103232400
7203203206
oct55353760
924373410
1011917296
1167aa706
123ba8700
132613471
141823076
1510a60b6
hexb5d7f0

11917296 has 30 divisors (see below), whose sum is σ = 33352280. Its totient is φ = 3972384.

The previous prime is 11917291. The next prime is 11917307. The reversal of 11917296 is 69271911.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11917296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11917291) 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, 41236 + ... + 41523.

Almost surely, 211917296 is an apocalyptic number.

11917296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11917296 is an abundant number, since it is smaller than the sum of its proper divisors (21434984).

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

11917296 is a wasteful number, since it uses less digits than its factorization.

11917296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82773 (or 82764 counting only the distinct ones).

The product of its digits is 6804, while the sum is 36.

The square root of 11917296 is about 3452.1436818302. The cubic root of 11917296 is about 228.4156775246.

The spelling of 11917296 in words is "eleven million, nine hundred seventeen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 82759 165518 248277 331036 496554 662072 744831 993108 1324144 1489662 1986216 2979324 3972432 5958648 11917296