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116466112 = 2672389127
BaseRepresentation
bin1101111000100…
…10000111000000
322010011002110201
412330102013000
5214303403422
615320134544
72612642230
oct674220700
9263132421
10116466112
115a818794
1233007454
131b18a579
1411679cc0
15a358727
hex6f121c0

116466112 has 112 divisors (see below), whose sum is σ = 280903680. Its totient is φ = 46835712.

The previous prime is 116466073. The next prime is 116466137. The reversal of 116466112 is 211664611.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 916993 + ... + 917119.

Almost surely, 2116466112 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 116466112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140451840).

116466112 is an abundant number, since it is smaller than the sum of its proper divisors (164437568).

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

116466112 is a wasteful number, since it uses less digits than its factorization.

116466112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 116466112 is about 10791.9466269992. The cubic root of 116466112 is about 488.3522494844.

It can be divided in two parts, 1164 and 66112, that added together give a palindrome (67276).

The spelling of 116466112 in words is "one hundred sixteen million, four hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 89 92 112 127 161 178 184 224 254 322 356 368 448 508 623 644 712 736 889 1016 1246 1288 1424 1472 1778 2032 2047 2492 2576 2848 2921 3556 4064 4094 4984 5152 5696 5842 7112 8128 8188 9968 10304 11303 11684 14224 14329 16376 19936 20447 22606 23368 28448 28658 32752 39872 40894 45212 46736 56896 57316 65504 79121 81788 90424 93472 114632 131008 158242 163576 180848 186944 229264 259969 316484 327152 361696 458528 519938 632968 654304 723392 917056 1039876 1265936 1308608 1819783 2079752 2531872 3639566 4159504 5063744 7279132 8319008 14558264 16638016 29116528 58233056 116466112