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116248064 = 291092083
BaseRepresentation
bin1101110110111…
…00111000000000
322002202000100212
412323130320000
5214224414224
615311333252
72611043432
oct673347000
9262660325
10116248064
115a689989
1232b21228
131b11224a
1411620652
15a313d0e
hex6edce00

116248064 has 40 divisors (see below), whose sum is σ = 234512520. Its totient is φ = 57563136.

The previous prime is 116248019. The next prime is 116248103. The reversal of 116248064 is 460842611.

It is a super-2 number, since 2×1162480642 = 27027224767496192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 116248064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54767 + ... + 56849.

It is an arithmetic number, because the mean of its divisors is an integer number (5862813).

Almost surely, 2116248064 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 116248064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117256260).

116248064 is an abundant number, since it is smaller than the sum of its proper divisors (118264456).

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

116248064 is an equidigital number, since it uses as much as digits as its factorization.

116248064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 116248064 is about 10781.8395461999. The cubic root of 116248064 is about 488.0472945294.

The spelling of 116248064 in words is "one hundred sixteen million, two hundred forty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 512 872 1744 2083 3488 4166 6976 8332 13952 16664 27904 33328 55808 66656 133312 227047 266624 454094 533248 908188 1066496 1816376 3632752 7265504 14531008 29062016 58124032 116248064