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116208576 = 26321118341
BaseRepresentation
bin1101110110100…
…11001111000000
322002200000012100
412323103033000
5214222133301
615310430400
72610520341
oct673231700
9262600170
10116208576
115a662250
1232b02400
131b0ca293
14116100c8
15a307286
hex6ed33c0

116208576 has 84 divisors (see below), whose sum is σ = 363391704. Its totient is φ = 35212800.

The previous prime is 116208563. The next prime is 116208607. The reversal of 116208576 is 675802611.

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 116208576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2835 + ... + 15506.

Almost surely, 2116208576 is an apocalyptic number.

116208576 is a gapful number since it is divisible by the number (16) 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 116208576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181695852).

116208576 is an abundant number, since it is smaller than the sum of its proper divisors (247183128).

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

116208576 is a wasteful number, since it uses less digits than its factorization.

116208576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18370 (or 18357 counting only the distinct ones).

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

The square root of 116208576 is about 10780.0081632622. The cubic root of 116208576 is about 487.9920271026.

The spelling of 116208576 in words is "one hundred sixteen million, two hundred eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 18341 36682 55023 73364 110046 146728 165069 201751 220092 293456 330138 403502 440184 586912 605253 660276 807004 880368 1173824 1210506 1320552 1614008 1760736 1815759 2421012 2641104 3228016 3521472 3631518 4842024 5282208 6456032 7263036 9684048 10564416 12912064 14526072 19368096 29052144 38736192 58104288 116208576