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116991864 = 2335115471
BaseRepresentation
bin1101111100100…
…10011101111000
322011010210200000
412332102131320
5214422214424
615335313000
72620262103
oct676223570
9264123600
10116991864
11600477a0
123321b760
131b312972
141177573a
15a40e3c9
hex6f92778

116991864 has 96 divisors (see below), whose sum is σ = 358525440. Its totient is φ = 35445600.

The previous prime is 116991857. The next prime is 116991871. The reversal of 116991864 is 468199611.

It is an interprime number because it is at equal distance from previous prime (116991857) and next prime (116991871).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18649 + ... + 24119.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2116991864 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 116991864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

116991864 is an abundant number, since it is smaller than the sum of its proper divisors (241533576).

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

116991864 is a wasteful number, since it uses less digits than its factorization.

116991864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503 (or 5487 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 116991864 is about 10816.2777331206. The cubic root of 116991864 is about 489.0859873629.

It can be divided in two parts, 116991 and 864, that added together give a triangular number (117855 = T485).

The spelling of 116991864 in words is "one hundred sixteen million, nine hundred ninety-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 972 1188 1782 1944 2376 2673 3564 5346 5471 7128 10692 10942 16413 21384 21884 32826 43768 49239 60181 65652 98478 120362 131304 147717 180543 196956 240724 295434 361086 393912 443151 481448 541629 590868 722172 886302 1083258 1181736 1329453 1444344 1624887 1772604 2166516 2658906 3249774 3545208 4333032 4874661 5317812 6499548 9749322 10635624 12999096 14623983 19498644 29247966 38997288 58495932 116991864