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116935504 = 2471278221
BaseRepresentation
bin1101111100001…
…00101101010000
322011000221100121
412332010231100
5214413414004
615334200024
72616635560
oct676045520
9264027317
10116935504
1160009414
12331b3014
131b2c310a
141175cda0
15a3ec854
hex6f84b50

116935504 has 40 divisors (see below), whose sum is σ = 260999168. Its totient is φ = 49714560.

The previous prime is 116935501. The next prime is 116935529. The reversal of 116935504 is 405539611.

It is a self number, because there is not a number n which added to its sum of digits gives 116935504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116935501) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10114 + ... + 18334.

Almost surely, 2116935504 is an apocalyptic number.

116935504 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 116935504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130499584).

116935504 is an abundant number, since it is smaller than the sum of its proper divisors (144063664).

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

116935504 is a wasteful number, since it uses less digits than its factorization.

116935504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8363 (or 8357 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 116935504 is about 10813.6720867613. The cubic root of 116935504 is about 489.0074368470.

The spelling of 116935504 in words is "one hundred sixteen million, nine hundred thirty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 254 508 889 1016 1778 2032 3556 7112 8221 14224 16442 32884 57547 65768 115094 131536 230188 460376 920752 1044067 2088134 4176268 7308469 8352536 14616938 16705072 29233876 58467752 116935504