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11911680 = 293251147
BaseRepresentation
bin101101011100…
…001000000000
3211102011202100
4231130020000
511022133210
61103150400
7203150634
oct55341000
924364670
1011911680
1167a6470
123ba5400
132610a41
141820dc4
1510a45c0
hexb5c200

11911680 has 240 divisors, whose sum is σ = 45961344. Its totient is φ = 2826240.

The previous prime is 11911667. The next prime is 11911681. The reversal of 11911680 is 8611911.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (11911681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253417 + ... + 253463.

Almost surely, 211911680 is an apocalyptic number.

11911680 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 11911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22980672).

11911680 is an abundant number, since it is smaller than the sum of its proper divisors (34049664).

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

11911680 is a wasteful number, since it uses less digits than its factorization.

11911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 11911680 is about 3451.3301783515. The cubic root of 11911680 is about 228.3797917554.

The spelling of 11911680 in words is "eleven million, nine hundred eleven thousand, six hundred eighty".