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11968260 = 22351511321
BaseRepresentation
bin101101101001…
…111100000100
3211112001100220
4231221330010
511030441020
61104304340
7203504613
oct55517404
924461326
1011968260
116834a27
1240120b0
132630715
14183787a
1510b6240
hexb69f04

11968260 has 48 divisors (see below), whose sum is σ = 33758592. Its totient is φ = 3168000.

The previous prime is 11968217. The next prime is 11968321. The reversal of 11968260 is 6286911.

11968260 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8400 + ... + 9720.

It is an arithmetic number, because the mean of its divisors is an integer number (703304).

Almost surely, 211968260 is an apocalyptic number.

11968260 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 11968260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16879296).

11968260 is an abundant number, since it is smaller than the sum of its proper divisors (21790332).

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

11968260 is a wasteful number, since it uses less digits than its factorization.

11968260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 11968260 is about 3459.5173073711. The cubic root of 11968260 is about 228.7408190050.

The spelling of 11968260 in words is "eleven million, nine hundred sixty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1321 1510 1812 2265 2642 3020 3963 4530 5284 6605 7926 9060 13210 15852 19815 26420 39630 79260 199471 398942 598413 797884 997355 1196826 1994710 2393652 2992065 3989420 5984130 11968260