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116887008 = 2537281619
BaseRepresentation
bin1101111011110…
…00110111100000
322010221110211110
412331320313200
5214410341013
615333143320
72616344310
oct675706740
9263843743
10116887008
115aa85a37
123318ab40
131b2a7014
1411749440
15a3dd2c3
hex6f78de0

116887008 has 96 divisors (see below), whose sum is σ = 352477440. Its totient is φ = 33223680.

The previous prime is 116887003. The next prime is 116887009. The reversal of 116887008 is 800788611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116887003) 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, 188523 + ... + 189141.

It is an arithmetic number, because the mean of its divisors is an integer number (3671640).

Almost surely, 2116887008 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 116887008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176238720).

116887008 is an abundant number, since it is smaller than the sum of its proper divisors (235590432).

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

116887008 is a wasteful number, since it uses less digits than its factorization.

116887008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The square root of 116887008 is about 10811.4295077016. The cubic root of 116887008 is about 488.9398264037.

The spelling of 116887008 in words is "one hundred sixteen million, eight hundred eighty-seven thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 281 336 562 619 672 843 1124 1238 1686 1857 1967 2248 2476 3372 3714 3934 4333 4496 4952 5901 6744 7428 7868 8666 8992 9904 11802 12999 13488 14856 15736 17332 19808 23604 25998 26976 29712 31472 34664 47208 51996 59424 62944 69328 94416 103992 138656 173939 188832 207984 347878 415968 521817 695756 1043634 1217573 1391512 2087268 2435146 2783024 3652719 4174536 4870292 5566048 7305438 8349072 9740584 14610876 16698144 19481168 29221752 38962336 58443504 116887008