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15991040 = 28513312
BaseRepresentation
bin111101000000…
…000100000000
31010002102120202
4331000010000
513043203130
61330424332
7252631052
oct75000400
933072522
1015991040
11903233a
1254320a8
13340b770
1421a38d2
15160d145
hexf40100

15991040 has 108 divisors (see below), whose sum is σ = 42623532. Its totient is φ = 5713920.

The previous prime is 15991037. The next prime is 15991097. The reversal of 15991040 is 4019951.

It can be written as a sum of positive squares in 2 ways, for example, as 3936256 + 12054784 = 1984^2 + 3472^2 .

It is a junction number, because it is equal to n+sod(n) for n = 15990994 and 15991012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515825 + ... + 515855.

Almost surely, 215991040 is an apocalyptic number.

15991040 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 15991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21311766).

15991040 is an abundant number, since it is smaller than the sum of its proper divisors (26632492).

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

15991040 is an equidigital number, since it uses as much as digits as its factorization.

15991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 29.

The square root of 15991040 is about 3998.8798431561. The cubic root of 15991040 is about 251.9371641435.

The spelling of 15991040 in words is "fifteen million, nine hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 64 65 80 104 124 128 130 155 160 208 248 256 260 310 320 403 416 496 520 620 640 806 832 961 992 1040 1240 1280 1612 1664 1922 1984 2015 2080 2480 3224 3328 3844 3968 4030 4160 4805 4960 6448 7688 7936 8060 8320 9610 9920 12493 12896 15376 16120 16640 19220 19840 24986 25792 30752 32240 38440 39680 49972 51584 61504 62465 64480 76880 99944 103168 123008 124930 128960 153760 199888 246016 249860 257920 307520 399776 499720 515840 615040 799552 999440 1230080 1599104 1998880 3198208 3997760 7995520 15991040