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116696576 = 29317719
BaseRepresentation
bin1101111010010…
…10011000000000
322010120210121102
412331022120000
5214333242301
615325113532
72614622153
oct675123000
9263523542
10116696576
115a965957
12330b88a8
131b23b439
14116d9c9a
15a3a1b6b
hex6f4a600

116696576 has 40 divisors (see below), whose sum is σ = 234226080. Its totient is φ = 58083328.

The previous prime is 116696543. The next prime is 116696579. The reversal of 116696576 is 675696611.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 116696576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116696579) 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 3 ways as a sum of consecutive naturals, for example, 161945 + ... + 162663.

It is an arithmetic number, because the mean of its divisors is an integer number (5855652).

Almost surely, 2116696576 is an apocalyptic number.

116696576 is a gapful number since it is divisible by the number (16) 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 116696576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117113040).

116696576 is an abundant number, since it is smaller than the sum of its proper divisors (117529504).

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

116696576 is an frugal number, since it uses more digits than its factorization.

116696576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1038 counting only the distinct ones).

The product of its digits is 408240, while the sum is 47.

The square root of 116696576 is about 10802.6189417196. The cubic root of 116696576 is about 488.6741555900.

The spelling of 116696576 in words is "one hundred sixteen million, six hundred ninety-six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 317 512 634 719 1268 1438 2536 2876 5072 5752 10144 11504 20288 23008 40576 46016 81152 92032 162304 184064 227923 368128 455846 911692 1823384 3646768 7293536 14587072 29174144 58348288 116696576