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11675640 = 2335149653
BaseRepresentation
bin101100100010…
…011111111000
3210222011222010
4230202133320
510442110030
61054125520
7201145524
oct54423770
923864863
1011675640
116655099
123ab08a0
13255a482
14179cd84
1510596b0
hexb227f8

11675640 has 64 divisors (see below), whose sum is σ = 35316000. Its totient is φ = 3087872.

The previous prime is 11675591. The next prime is 11675641. The reversal of 11675640 is 4657611.

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

It is a junction number, because it is equal to n+sod(n) for n = 11675598 and 11675607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11675641) 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 15 ways as a sum of consecutive naturals, for example, 17554 + ... + 18206.

Almost surely, 211675640 is an apocalyptic number.

11675640 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 11675640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17658000).

11675640 is an abundant number, since it is smaller than the sum of its proper divisors (23640360).

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

11675640 is a wasteful number, since it uses less digits than its factorization.

11675640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 11675640 is about 3416.9635643360. The cubic root of 11675640 is about 226.8612036173.

The spelling of 11675640 in words is "eleven million, six hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 447 596 653 745 894 1192 1306 1490 1788 1959 2235 2612 2980 3265 3576 3918 4470 5224 5960 6530 7836 8940 9795 13060 15672 17880 19590 26120 39180 78360 97297 194594 291891 389188 486485 583782 778376 972970 1167564 1459455 1945940 2335128 2918910 3891880 5837820 11675640