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11913920 = 265311201
BaseRepresentation
bin101101011100…
…101011000000
3211102021211022
4231130223000
511022221140
61103205012
7203160314
oct55345300
924367738
1011913920
1167a8117
123ba6768
132611a75
141821b44
1510a50b5
hexb5cac0

11913920 has 56 divisors (see below), whose sum is σ = 29309568. Its totient is φ = 4608000.

The previous prime is 11913899. The next prime is 11913953. The reversal of 11913920 is 2931911.

It is a self number, because there is not a number n which added to its sum of digits gives 11913920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9320 + ... + 10520.

Almost surely, 211913920 is an apocalyptic number.

11913920 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 11913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14654784).

11913920 is an abundant number, since it is smaller than the sum of its proper divisors (17395648).

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

11913920 is a wasteful number, since it uses less digits than its factorization.

11913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 26.

The square root of 11913920 is about 3451.6546756592. The cubic root of 11913920 is about 228.3941065196.

Subtracting from 11913920 its reverse (2931911), we obtain a square (8982009 = 29972).

The spelling of 11913920 in words is "eleven million, nine hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1201 1240 1984 2402 2480 4804 4960 6005 9608 9920 12010 19216 24020 37231 38432 48040 74462 76864 96080 148924 186155 192160 297848 372310 384320 595696 744620 1191392 1489240 2382784 2978480 5956960 11913920