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11933680 = 2451171191
BaseRepresentation
bin101101100001…
…011111110000
3211110021221011
4231201133300
511023334210
61103440304
7203302033
oct55413760
924407834
1011933680
116810a50
123bb6094
13261aa65
14182901a
1510aad8a
hexb617f0

11933680 has 80 divisors (see below), whose sum is σ = 30855168. Its totient is φ = 4256000.

The previous prime is 11933671. The next prime is 11933687. The reversal of 11933680 is 8633911.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11933687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62385 + ... + 62575.

Almost surely, 211933680 is an apocalyptic number.

11933680 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 11933680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427584).

11933680 is an abundant number, since it is smaller than the sum of its proper divisors (18921488).

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

11933680 is a wasteful number, since it uses less digits than its factorization.

11933680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 11933680 is about 3454.5158850409. The cubic root of 11933680 is about 228.5203055308.

The spelling of 11933680 in words is "eleven million, nine hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 71 80 88 110 142 176 191 220 284 355 382 440 568 710 764 781 880 955 1136 1420 1528 1562 1910 2101 2840 3056 3124 3820 3905 4202 5680 6248 7640 7810 8404 10505 12496 13561 15280 15620 16808 21010 27122 31240 33616 42020 54244 62480 67805 84040 108488 135610 149171 168080 216976 271220 298342 542440 596684 745855 1084880 1193368 1491710 2386736 2983420 5966840 11933680