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116601768 = 23341031747
BaseRepresentation
bin1101111001100…
…11001110101000
322010101222120000
412330303032220
5214322224033
615323103000
72614045563
oct674631650
9263358500
10116601768
115a9006a8
1233071a60
131b20723a
14116b34da
15a383a13
hex6f333a8

116601768 has 80 divisors (see below), whose sum is σ = 329952480. Its totient is φ = 38467872.

The previous prime is 116601733. The next prime is 116601781. The reversal of 116601768 is 867106611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65871 + ... + 67617.

It is an arithmetic number, because the mean of its divisors is an integer number (4124406).

Almost surely, 2116601768 is an apocalyptic number.

116601768 is a gapful number since it is divisible by the number (18) 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 116601768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164976240).

116601768 is an abundant number, since it is smaller than the sum of its proper divisors (213350712).

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

116601768 is a wasteful number, since it uses less digits than its factorization.

116601768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 116601768 is about 10798.2298549346. The cubic root of 116601768 is about 488.5417816069.

The spelling of 116601768 in words is "one hundred sixteen million, six hundred one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 103 108 162 206 216 309 324 412 618 648 824 927 1236 1747 1854 2472 2781 3494 3708 5241 5562 6988 7416 8343 10482 11124 13976 15723 16686 20964 22248 31446 33372 41928 47169 62892 66744 94338 125784 141507 179941 188676 283014 359882 377352 539823 566028 719764 1079646 1132056 1439528 1619469 2159292 3238938 4318584 4858407 6477876 9716814 12955752 14575221 19433628 29150442 38867256 58300884 116601768