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116258076 = 2232111731697
BaseRepresentation
bin1101110110111…
…11010100011100
322002202112002200
412323133110130
5214230224301
615311451500
72611114554
oct673372434
9262675080
10116258076
115a696460
1232b26b90
131b11697c
1411624164
15a316c86
hex6edf51c

116258076 has 72 divisors (see below), whose sum is σ = 322633584. Its totient is φ = 35005440.

The previous prime is 116258047. The next prime is 116258099. The reversal of 116258076 is 670852611.

116258076 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 580 + 76 = 666.

It is a super-3 number, since 3×1162580763 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 116258076.

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 23 ways as a sum of consecutive naturals, for example, 67660 + ... + 69356.

It is an arithmetic number, because the mean of its divisors is an integer number (4481022).

Almost surely, 2116258076 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 116258076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161316792).

116258076 is an abundant number, since it is smaller than the sum of its proper divisors (206375508).

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

116258076 is a wasteful number, since it uses less digits than its factorization.

116258076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 116258076 is about 10782.3038354519. The cubic root of 116258076 is about 488.0613053412.

It can be divided in two parts, 11625 and 8076, that added together give a triangular number (19701 = T198).

The spelling of 116258076 in words is "one hundred sixteen million, two hundred fifty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 173 198 346 396 519 692 1038 1557 1697 1903 2076 3114 3394 3806 5091 5709 6228 6788 7612 10182 11418 15273 17127 18667 20364 22836 30546 34254 37334 56001 61092 68508 74668 112002 168003 224004 293581 336006 587162 672012 880743 1174324 1761486 2642229 3229391 3522972 5284458 6458782 9688173 10568916 12917564 19376346 29064519 38752692 58129038 116258076