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116696736 = 25321371439
BaseRepresentation
bin1101111010010…
…10011010100000
322010120210211100
412331022122200
5214333243421
615325114400
72614622502
oct675123240
9263523740
10116696736
115a965a92
12330b8a00
131b23b530
14116d9d72
15a3a1c26
hex6f4a6a0

116696736 has 144 divisors (see below), whose sum is σ = 363242880. Its totient is φ = 35320320.

The previous prime is 116696731. The next prime is 116696747. The reversal of 116696736 is 637696611.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1166967363 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116696691 and 116696700.

It is not an unprimeable number, because it can be changed into a prime (116696731) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 265605 + ... + 266043.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 2116696736 is an apocalyptic number.

116696736 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 116696736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

116696736 is an abundant number, since it is smaller than the sum of its proper divisors (246546144).

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

116696736 is a wasteful number, since it uses less digits than its factorization.

116696736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 528 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 116696736 is about 10802.6263473287. The cubic root of 116696736 is about 488.6743789265.

The spelling of 116696736 in words is "one hundred sixteen million, six hundred ninety-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 71 72 78 96 104 117 142 144 156 208 213 234 284 288 312 416 426 439 468 568 624 639 852 878 923 936 1136 1248 1278 1317 1704 1756 1846 1872 2272 2556 2634 2769 3408 3512 3692 3744 3951 5112 5268 5538 5707 6816 7024 7384 7902 8307 10224 10536 11076 11414 14048 14768 15804 16614 17121 20448 21072 22152 22828 29536 31169 31608 33228 34242 42144 44304 45656 51363 62338 63216 66456 68484 88608 91312 93507 102726 124676 126432 132912 136968 182624 187014 205452 249352 265824 273936 280521 374028 405197 410904 498704 547872 561042 748056 810394 821808 997408 1122084 1215591 1496112 1620788 1643616 2244168 2431182 2992224 3241576 3646773 4488336 4862364 6483152 7293546 8976672 9724728 12966304 14587092 19449456 29174184 38898912 58348368 116696736