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16131696 = 2437411171
BaseRepresentation
bin111101100010…
…011001110000
31010100120112020
4331202121300
513112203241
61333431440
7254055120
oct75423160
933316466
1016131696
119118a89
12549b580
13345a7a9
1421dcc80
151639b66
hexf62670

16131696 has 80 divisors (see below), whose sum is σ = 48830208. Its totient is φ = 4492800.

The previous prime is 16131679. The next prime is 16131761. The reversal of 16131696 is 69613161.

16131696 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

16131696 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13191 + ... + 14361.

Almost surely, 216131696 is an apocalyptic number.

16131696 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 16131696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24415104).

16131696 is an abundant number, since it is smaller than the sum of its proper divisors (32698512).

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

16131696 is a wasteful number, since it uses less digits than its factorization.

16131696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1224 counting only the distinct ones).

The product of its digits is 5832, while the sum is 33.

The square root of 16131696 is about 4016.4282640177. The cubic root of 16131696 is about 252.6736824198.

The spelling of 16131696 in words is "sixteen million, one hundred thirty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1171 1722 1968 2296 2342 3444 3513 4592 4684 6888 7026 8197 9368 13776 14052 16394 18736 24591 28104 32788 48011 49182 56208 65576 96022 98364 131152 144033 192044 196728 288066 336077 384088 393456 576132 672154 768176 1008231 1152264 1344308 2016462 2304528 2688616 4032924 5377232 8065848 16131696