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116927104 = 277373527
BaseRepresentation
bin1101111100000…
…10101010000000
322011000111211111
412332002222000
5214413131404
615334053104
72616602230
oct676025200
9264014744
10116927104
1160003078
12331aa194
131b2bc348
1411759cc0
15a3ea104
hex6f82a80

116927104 has 64 divisors (see below), whose sum is σ = 273490560. Its totient is φ = 48743424.

The previous prime is 116927087. The next prime is 116927119. The reversal of 116927104 is 401729611.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 31389 + ... + 34915.

It is an arithmetic number, because the mean of its divisors is an integer number (4273290).

Almost surely, 2116927104 is an apocalyptic number.

116927104 is a gapful number since it is divisible by the number (14) 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 116927104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136745280).

116927104 is an abundant number, since it is smaller than the sum of its proper divisors (156563456).

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

116927104 is an equidigital number, since it uses as much as digits as its factorization.

116927104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 116927104 is about 10813.2836825823. The cubic root of 116927104 is about 488.9957273699.

The spelling of 116927104 in words is "one hundred sixteen million, nine hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 259 296 448 518 592 896 1036 1184 2072 2368 3527 4144 4736 7054 8288 14108 16576 24689 28216 33152 49378 56432 98756 112864 130499 197512 225728 260998 395024 451456 521996 790048 913493 1043992 1580096 1826986 2087984 3160192 3653972 4175968 7307944 8351936 14615888 16703872 29231776 58463552 116927104