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11890656 = 2532194153
BaseRepresentation
bin101101010110…
…111111100000
3211101002220200
4231112333200
511021000111
61102505200
7203032431
oct55267740
924332820
1011890656
116791698
123b95200
1326042bb
141817488
15109d256
hexb56fe0

11890656 has 144 divisors (see below), whose sum is σ = 37149840. Its totient is φ = 3594240.

The previous prime is 11890643. The next prime is 11890657. The reversal of 11890656 is 65609811.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×118906562 = 282775400220672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11890656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11890657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224326 + ... + 224378.

It is an arithmetic number, because the mean of its divisors is an integer number (257985).

Almost surely, 211890656 is an apocalyptic number.

11890656 is a gapful number since it is divisible by the number (16) 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 11890656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574920).

11890656 is an abundant number, since it is smaller than the sum of its proper divisors (25259184).

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

11890656 is a wasteful number, since it uses less digits than its factorization.

11890656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 11890656 is about 3448.2830510270. The cubic root of 11890656 is about 228.2453499203.

The spelling of 11890656 in words is "eleven million, eight hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 41 48 53 57 72 76 82 96 106 114 123 144 152 159 164 171 212 228 246 288 304 318 328 342 369 424 456 477 492 608 636 656 684 738 779 848 912 954 984 1007 1272 1312 1368 1476 1558 1696 1824 1908 1968 2014 2173 2337 2544 2736 2952 3021 3116 3816 3936 4028 4346 4674 5088 5472 5904 6042 6232 6519 7011 7632 8056 8692 9063 9348 11808 12084 12464 13038 14022 15264 16112 17384 18126 18696 19557 24168 24928 26076 28044 32224 34768 36252 37392 39114 41287 48336 52152 56088 69536 72504 74784 78228 82574 96672 104304 112176 123861 145008 156456 165148 208608 224352 247722 290016 312912 330296 371583 495444 625824 660592 743166 990888 1321184 1486332 1981776 2972664 3963552 5945328 11890656