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11980560 = 243549919
BaseRepresentation
bin101101101100…
…111100010000
3211112200020110
4231230330100
511031334220
61104441320
7203555514
oct55547420
924480213
1011980560
116843199
124019240
1326361b7
14183c144
1510b9be0
hexb6cf10

11980560 has 40 divisors (see below), whose sum is σ = 37140480. Its totient is φ = 3194752.

The previous prime is 11980559. The next prime is 11980589. The reversal of 11980560 is 6508911.

It is a happy number.

11980560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24720 + ... + 25199.

It is an arithmetic number, because the mean of its divisors is an integer number (928512).

Almost surely, 211980560 is an apocalyptic number.

11980560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11980560 is an abundant number, since it is smaller than the sum of its proper divisors (25159920).

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

11980560 is a wasteful number, since it uses less digits than its factorization.

11980560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49935 (or 49929 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 11980560 is about 3461.2945555095. The cubic root of 11980560 is about 228.8191525526.

The spelling of 11980560 in words is "eleven million, nine hundred eighty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 49919 99838 149757 199676 249595 299514 399352 499190 599028 748785 798704 998380 1198056 1497570 1996760 2396112 2995140 3993520 5990280 11980560