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15997296 = 2437471013
BaseRepresentation
bin111101000001…
…100101110000
31010002202011110
4331001211300
513043403141
61330513320
7252655230
oct75014560
933082143
1015997296
119037007
125435840
133411573
1421a5cc0
15160ee16
hexf41970

15997296 has 80 divisors (see below), whose sum is σ = 48282624. Its totient is φ = 4468992.

The previous prime is 15997291. The next prime is 15997307. The reversal of 15997296 is 69279951.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15997291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15286 + ... + 16298.

Almost surely, 215997296 is an apocalyptic number.

15997296 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 15997296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24141312).

15997296 is an abundant number, since it is smaller than the sum of its proper divisors (32285328).

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

15997296 is a wasteful number, since it uses less digits than its factorization.

15997296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1072 counting only the distinct ones).

The product of its digits is 306180, while the sum is 48.

The square root of 15997296 is about 3999.6619857183. The cubic root of 15997296 is about 251.9700140687.

The spelling of 15997296 in words is "fifteen million, nine hundred ninety-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 987 1013 1128 1316 1974 2026 2256 2632 3039 3948 4052 5264 6078 7091 7896 8104 12156 14182 15792 16208 21273 24312 28364 42546 47611 48624 56728 85092 95222 113456 142833 170184 190444 285666 333277 340368 380888 571332 666554 761776 999831 1142664 1333108 1999662 2285328 2666216 3999324 5332432 7998648 15997296