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116997136 = 24192329577
BaseRepresentation
bin1101111100100…
…11110000010000
322011011001220021
412332103300100
5214422402021
615335353224
72620313344
oct676236020
9264131807
10116997136
1160050753
1233222814
131b315199
1411777624
15a410c41
hex6f93c10

116997136 has 80 divisors (see below), whose sum is σ = 258019200. Its totient is φ = 51093504.

The previous prime is 116997119. The next prime is 116997143. The reversal of 116997136 is 631799611.

It is a junction number, because it is equal to n+sod(n) for n = 116997092 and 116997101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202480 + ... + 203056.

It is an arithmetic number, because the mean of its divisors is an integer number (3225240).

Almost surely, 2116997136 is an apocalyptic number.

116997136 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 116997136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129009600).

116997136 is an abundant number, since it is smaller than the sum of its proper divisors (141022064).

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

116997136 is a wasteful number, since it uses less digits than its factorization.

116997136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 650 counting only the distinct ones).

The product of its digits is 61236, while the sum is 43.

The square root of 116997136 is about 10816.5214371350. The cubic root of 116997136 is about 489.0933338071.

The spelling of 116997136 in words is "one hundred sixteen million, nine hundred ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 23 29 38 46 58 76 92 116 152 184 232 304 368 437 464 551 577 667 874 1102 1154 1334 1748 2204 2308 2668 3496 4408 4616 5336 6992 8816 9232 10672 10963 12673 13271 16733 21926 25346 26542 33466 43852 50692 53084 66932 87704 101384 106168 133864 175408 202768 212336 252149 267728 317927 384859 504298 635854 769718 1008596 1271708 1539436 2017192 2543416 3078872 4034384 5086832 6157744 7312321 14624642 29249284 58498568 116997136