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117006020 = 22510975333
BaseRepresentation
bin1101111100101…
…01111011000100
322011011112002022
412332111323010
5214423143040
615335502312
72620351265
oct676257304
9264145068
10117006020
116005739a
1233227998
131b319241
141177a96c
15a4136b5
hex6f95ec4

117006020 has 24 divisors (see below), whose sum is σ = 245982744. Its totient is φ = 46750976.

The previous prime is 117006011. The next prime is 117006023. The reversal of 117006020 is 20600711.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34668544 + 82337476 = 5888^2 + 9074^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 117006020.

It is not an unprimeable number, because it can be changed into a prime (117006023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19274 + ... + 24606.

It is an arithmetic number, because the mean of its divisors is an integer number (10249281).

Almost surely, 2117006020 is an apocalyptic number.

117006020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117006020 is an abundant number, since it is smaller than the sum of its proper divisors (128976724).

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

117006020 is a wasteful number, since it uses less digits than its factorization.

117006020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6439 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 117006020 is about 10816.9320974110. The cubic root of 117006020 is about 489.1057130138.

Adding to 117006020 its reverse (20600711), we get a palindrome (137606731).

The spelling of 117006020 in words is "one hundred seventeen million, six thousand, twenty".

Divisors: 1 2 4 5 10 20 1097 2194 4388 5333 5485 10666 10970 21332 21940 26665 53330 106660 5850301 11700602 23401204 29251505 58503010 117006020