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11639840 = 255233163
BaseRepresentation
bin101100011001…
…110000100000
3210220100212012
4230121300200
510434433330
61053252052
7200636252
oct54316040
923810765
1011639840
116630203
123a94028
1325470a4
14178dcd2
15104dc95
hexb19c20

11639840 has 48 divisors (see below), whose sum is σ = 28703808. Its totient is φ = 4452096.

The previous prime is 11639839. The next prime is 11639851. The reversal of 11639840 is 4893611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 11639797 and 11639806.

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, 2099 + ... + 5261.

It is an arithmetic number, because the mean of its divisors is an integer number (597996).

Almost surely, 211639840 is an apocalyptic number.

11639840 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 11639840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14351904).

11639840 is an abundant number, since it is smaller than the sum of its proper divisors (17063968).

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

11639840 is a wasteful number, since it uses less digits than its factorization.

11639840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 11639840 is about 3411.7209733505. The cubic root of 11639840 is about 226.6290979642.

The spelling of 11639840 in words is "eleven million, six hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3163 3680 6326 12652 15815 25304 31630 50608 63260 72749 101216 126520 145498 253040 290996 363745 506080 581992 727490 1163984 1454980 2327968 2909960 5819920 11639840