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118680768 = 2633173397
BaseRepresentation
bin1110001001011…
…10110011000000
322021022121102000
413010232303000
5220340241033
615435424000
72640525033
oct704566300
9267277360
10118680768
1160aa0688
12338b5000
131b78460b
1411a9501a
15a644a13
hex712ecc0

118680768 has 112 divisors (see below), whose sum is σ = 351800160. Its totient is φ = 39232512.

The previous prime is 118680743. The next prime is 118680769. The reversal of 118680768 is 867086811.

It is not an unprimeable number, because it can be changed into a prime (118680769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298746 + ... + 299142.

Almost surely, 2118680768 is an apocalyptic number.

118680768 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 118680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175900080).

118680768 is an abundant number, since it is smaller than the sum of its proper divisors (233119392).

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

118680768 is a wasteful number, since it uses less digits than its factorization.

118680768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 118680768 is about 10894.0703137074. The cubic root of 118680768 is about 491.4282471862.

The spelling of 118680768 in words is "one hundred eighteen million, six hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 173 192 216 288 346 397 432 519 576 692 794 864 1038 1191 1384 1557 1588 1728 2076 2382 2768 3114 3176 3573 4152 4671 4764 5536 6228 6352 7146 8304 9342 9528 10719 11072 12456 12704 14292 16608 18684 19056 21438 24912 25408 28584 33216 37368 38112 42876 49824 57168 68681 74736 76224 85752 99648 114336 137362 149472 171504 206043 228672 274724 298944 343008 412086 549448 618129 686016 824172 1098896 1236258 1648344 1854387 2197792 2472516 3296688 3708774 4395584 4945032 6593376 7417548 9890064 13186752 14835096 19780128 29670192 39560256 59340384 118680768