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11989920 = 253524979
BaseRepresentation
bin101101101111…
…001110100000
3211120011002010
4231233032200
511032134140
61104552520
7203625015
oct55571640
924504063
1011989920
11684a228
124022740
13263a537
14184170c
1510bc880
hexb6f3a0

11989920 has 48 divisors (see below), whose sum is σ = 37769760. Its totient is φ = 3197184.

The previous prime is 11989919. The next prime is 11989927. The reversal of 11989920 is 2998911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (11989927) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12010 + ... + 12969.

It is an arithmetic number, because the mean of its divisors is an integer number (786870).

Almost surely, 211989920 is an apocalyptic number.

11989920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11989920 is an abundant number, since it is smaller than the sum of its proper divisors (25779840).

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

11989920 is a wasteful number, since it uses less digits than its factorization.

11989920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24997 (or 24989 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The square root of 11989920 is about 3462.6463867972. The cubic root of 11989920 is about 228.8787265556.

The spelling of 11989920 in words is "eleven million, nine hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 24979 49958 74937 99916 124895 149874 199832 249790 299748 374685 399664 499580 599496 749370 799328 999160 1198992 1498740 1998320 2397984 2997480 3996640 5994960 11989920