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116215776 = 2533314339
BaseRepresentation
bin1101110110101…
…00111111100000
322002200101002000
412323110333200
5214222401101
615310524000
72610550335
oct673247740
9262611060
10116215776
115a6676a6
1232b06600
131b100641
141161298c
15a309486
hex6ed4fe0

116215776 has 96 divisors (see below), whose sum is σ = 349977600. Its totient is φ = 37480320.

The previous prime is 116215769. The next prime is 116215777. The reversal of 116215776 is 677512611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1162157762 = 27012213182564352, which contains 22 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 116215776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116215777) 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, 24615 + ... + 28953.

It is an arithmetic number, because the mean of its divisors is an integer number (3645600).

Almost surely, 2116215776 is an apocalyptic number.

116215776 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 116215776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174988800).

116215776 is an abundant number, since it is smaller than the sum of its proper divisors (233761824).

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

116215776 is a wasteful number, since it uses less digits than its factorization.

116215776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4389 (or 4375 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 116215776 is about 10780.3421095993. The cubic root of 116215776 is about 488.0021051598.

The spelling of 116215776 in words is "one hundred sixteen million, two hundred fifteen thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4339 4464 6696 8678 8928 13017 13392 17356 26034 26784 34712 39051 52068 69424 78102 104136 117153 134509 138848 156204 208272 234306 269018 312408 403527 416544 468612 538036 624816 807054 937224 1076072 1210581 1249632 1614108 1874448 2152144 2421162 3228216 3631743 3748896 4304288 4842324 6456432 7263486 9684648 12912864 14526972 19369296 29053944 38738592 58107888 116215776