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11639920 = 245831753
BaseRepresentation
bin101100011001…
…110001110000
3210220100222011
4230121301300
510434434140
61053252304
7200636425
oct54316160
923810864
1011639920
116630276
123a94094
132547136
14178dd4c
15104dcea
hexb19c70

11639920 has 40 divisors (see below), whose sum is σ = 27404496. Its totient is φ = 4597248.

The previous prime is 11639897. The next prime is 11639963. The reversal of 11639920 is 2993611.

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

It is a congruent number.

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, 5764 + ... + 7516.

Almost surely, 211639920 is an apocalyptic number.

11639920 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 11639920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13702248).

11639920 is an abundant number, since it is smaller than the sum of its proper divisors (15764576).

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

11639920 is a wasteful number, since it uses less digits than its factorization.

11639920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 11639920 is about 3411.7326976186. The cubic root of 11639920 is about 226.6296171663.

The spelling of 11639920 in words is "eleven million, six hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 1753 3320 3506 6640 7012 8765 14024 17530 28048 35060 70120 140240 145499 290998 581996 727495 1163992 1454990 2327984 2909980 5819960 11639920