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11913960 = 2335101983
BaseRepresentation
bin101101011100…
…101011101000
3211102021212210
4231130223220
511022221320
61103205120
7203160402
oct55345350
924367783
1011913960
1167a8153
123ba67a0
132611aa6
141821b72
1510a50e0
hexb5cae8

11913960 has 64 divisors (see below), whose sum is σ = 36132480. Its totient is φ = 3142400.

The previous prime is 11913959. The next prime is 11914003. The reversal of 11913960 is 6931911.

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

It is a congruent number.

It is an unprimeable number.

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, 11629 + ... + 12611.

It is an arithmetic number, because the mean of its divisors is an integer number (564570).

Almost surely, 211913960 is an apocalyptic number.

11913960 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 11913960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18066240).

11913960 is an abundant number, since it is smaller than the sum of its proper divisors (24218520).

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

11913960 is a wasteful number, since it uses less digits than its factorization.

11913960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 11913960 is about 3451.6604699767. The cubic root of 11913960 is about 228.3943621241.

It can be divided in two parts, 1191 and 3960, that added together give a triangular number (5151 = T101).

The spelling of 11913960 in words is "eleven million, nine hundred thirteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 983 1010 1212 1515 1966 2020 2424 2949 3030 3932 4040 4915 5898 6060 7864 9830 11796 12120 14745 19660 23592 29490 39320 58980 99283 117960 198566 297849 397132 496415 595698 794264 992830 1191396 1489245 1985660 2382792 2978490 3971320 5956980 11913960