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116896240 = 24567113193
BaseRepresentation
bin1101111011110…
…11000111110000
322010221221111101
412331323013300
5214411134430
615333254144
72616413236
oct675730760
9263857441
10116896240
115aa9196a
1233194354
131b2ab296
141174c956
15a3e0dca
hex6f7b1f0

116896240 has 80 divisors (see below), whose sum is σ = 279723168. Its totient is φ = 45416448.

The previous prime is 116896223. The next prime is 116896259. The reversal of 116896240 is 42698611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1168962402 = 27329461852275200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 116896240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605584 + ... + 605776.

Almost surely, 2116896240 is an apocalyptic number.

116896240 is a gapful number since it is divisible by the number (10) 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 116896240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139861584).

116896240 is an abundant number, since it is smaller than the sum of its proper divisors (162826928).

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

116896240 is a wasteful number, since it uses less digits than its factorization.

116896240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 116896240 is about 10811.8564548370. The cubic root of 116896240 is about 488.9526985889.

The spelling of 116896240 in words is "one hundred sixteen million, eight hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 113 134 193 226 268 335 386 452 536 565 670 772 904 965 1072 1130 1340 1544 1808 1930 2260 2680 3088 3860 4520 5360 7571 7720 9040 12931 15142 15440 21809 25862 30284 37855 43618 51724 60568 64655 75710 87236 103448 109045 121136 129310 151420 174472 206896 218090 258620 302840 348944 436180 517240 605680 872360 1034480 1461203 1744720 2922406 5844812 7306015 11689624 14612030 23379248 29224060 58448120 116896240