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116019968 = 281753503
BaseRepresentation
bin1101110101001…
…01001100000000
322002022102110212
412322211030000
5214200114333
615302413252
72606103431
oct672451400
9262272425
10116019968
115a543579
1232a31228
131b06248c
14115a1488
15a2bb448
hex6ea5300

116019968 has 72 divisors (see below), whose sum is σ = 250332768. Its totient is φ = 53460992.

The previous prime is 116019941. The next prime is 116019983. The reversal of 116019968 is 869910611.

116019968 = 1972 + 1982 + ... + 7082.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 230405 + ... + 230907.

It is an arithmetic number, because the mean of its divisors is an integer number (3476844).

Almost surely, 2116019968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116019968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125166384).

116019968 is an abundant number, since it is smaller than the sum of its proper divisors (134312800).

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

116019968 is an equidigital number, since it uses as much as digits as its factorization.

116019968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 41.

The square root of 116019968 is about 10771.2565655080. The cubic root of 116019968 is about 487.7278783855.

The spelling of 116019968 in words is "one hundred sixteen million, nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 128 136 212 256 272 424 503 544 848 901 1006 1088 1696 1802 2012 2176 3392 3604 4024 4352 6784 7208 8048 8551 13568 14416 16096 17102 26659 28832 32192 34204 53318 57664 64384 68408 106636 115328 128768 136816 213272 230656 273632 426544 453203 547264 853088 906406 1094528 1706176 1812812 2189056 3412352 3625624 6824704 7251248 14502496 29004992 58009984 116019968