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116919408 = 24337431531
BaseRepresentation
bin1101111100000…
…00110001110000
322011000010021110
412332000301300
5214412410113
615333553320
72616540624
oct676006160
9264003243
10116919408
115aaa8311
12331a5840
131b2b89a8
1411757184
15a3e7bc3
hex6f80c70

116919408 has 80 divisors (see below), whose sum is σ = 317626496. Its totient is φ = 37013760.

The previous prime is 116919403. The next prime is 116919443. The reversal of 116919408 is 804919611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116919401) 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, 75603 + ... + 77133.

Almost surely, 2116919408 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 116919408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158813248).

116919408 is an abundant number, since it is smaller than the sum of its proper divisors (200707088).

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

116919408 is a wasteful number, since it uses less digits than its factorization.

116919408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The square root of 116919408 is about 10812.9278181259. The cubic root of 116919408 is about 488.9849987661.

The spelling of 116919408 in words is "one hundred sixteen million, nine hundred nineteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 43 48 74 86 111 129 148 172 222 258 296 344 444 516 592 688 888 1032 1531 1591 1776 2064 3062 3182 4593 4773 6124 6364 9186 9546 12248 12728 18372 19092 24496 25456 36744 38184 56647 65833 73488 76368 113294 131666 169941 197499 226588 263332 339882 394998 453176 526664 679764 789996 906352 1053328 1359528 1579992 2435821 2719056 3159984 4871642 7307463 9743284 14614926 19486568 29229852 38973136 58459704 116919408