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116016704 = 2617293677
BaseRepresentation
bin1101110101001…
…00011001000000
322002022020222222
412322210121000
5214200013304
615302350212
72606061056
oct672443100
9262266888
10116016704
115a541081
1232a2b368
131b060b4b
14115a01d6
15a2ba4be
hex6ea4640

116016704 has 56 divisors (see below), whose sum is σ = 252237240. Its totient is φ = 52699136.

The previous prime is 116016701. The next prime is 116016707. The reversal of 116016704 is 407610611.

It is an interprime number because it is at equal distance from previous prime (116016701) and next prime (116016707).

It can be written as a sum of positive squares in 4 ways, for example, as 49561600 + 66455104 = 7040^2 + 8152^2 .

It is not an unprimeable number, because it can be changed into a prime (116016701) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 29714 + ... + 33390.

Almost surely, 2116016704 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 116016704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126118620).

116016704 is an abundant number, since it is smaller than the sum of its proper divisors (136220536).

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

116016704 is a wasteful number, since it uses less digits than its factorization.

116016704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 116016704 is about 10771.1050500866. The cubic root of 116016704 is about 487.7233045788.

The spelling of 116016704 in words is "one hundred sixteen million, sixteen thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 136 232 272 464 493 544 928 986 1088 1856 1972 3677 3944 7354 7888 14708 15776 29416 31552 58832 62509 106633 117664 125018 213266 235328 250036 426532 500072 853064 1000144 1706128 1812761 2000288 3412256 3625522 4000576 6824512 7251044 14502088 29004176 58008352 116016704