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15996672 = 283253131
BaseRepresentation
bin111101000001…
…011100000000
31010002201022100
4331001130000
513043343142
61330510400
7252653346
oct75013400
933081270
1015996672
11903659a
125435400
1334111b3
1421a5996
15160eb4c
hexf41700

15996672 has 108 divisors (see below), whose sum is σ = 47351304. Its totient is φ = 5191680.

The previous prime is 15996671. The next prime is 15996679. The reversal of 15996672 is 27669951.

It is a happy number.

It is a super-3 number, since 3×159966723 (a number of 23 digits) contains 333 as substring.

Its product of digits (204120) is a multiple of the sum of its prime divisors (189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15996671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122047 + ... + 122177.

It is an arithmetic number, because the mean of its divisors is an integer number (438438).

Almost surely, 215996672 is an apocalyptic number.

15996672 is a gapful number since it is divisible by the number (12) 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 15996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23675652).

15996672 is an abundant number, since it is smaller than the sum of its proper divisors (31354632).

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

15996672 is a wasteful number, since it uses less digits than its factorization.

15996672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 189 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 15996672 is about 3999.5839783657. The cubic root of 15996672 is about 251.9667378623.

The spelling of 15996672 in words is "fifteen million, nine hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 131 144 159 192 212 256 262 288 318 384 393 424 477 524 576 636 768 786 848 954 1048 1152 1179 1272 1572 1696 1908 2096 2304 2358 2544 3144 3392 3816 4192 4716 5088 6288 6784 6943 7632 8384 9432 10176 12576 13568 13886 15264 16768 18864 20352 20829 25152 27772 30528 33536 37728 40704 41658 50304 55544 61056 62487 75456 83316 100608 111088 122112 124974 150912 166632 222176 249948 301824 333264 444352 499896 666528 888704 999792 1333056 1777408 1999584 2666112 3999168 5332224 7998336 15996672