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117766820 = 22517346373
BaseRepresentation
bin1110000010011…
…11101010100100
322012121011201002
413001033222210
5220122014240
615404052432
72630000333
oct701175244
9265534632
10117766820
1160526a56
1233534118
131b524612
14118d7d1a
15a513d15
hex704faa4

117766820 has 24 divisors (see below), whose sum is σ = 261858744. Its totient is φ = 44335616.

The previous prime is 117766813. The next prime is 117766823. The reversal of 117766820 is 28667711.

It can be written as a sum of positive squares in 4 ways, for example, as 17926756 + 99840064 = 4234^2 + 9992^2 .

It is not an unprimeable number, because it can be changed into a prime (117766823) 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, 172847 + ... + 173526.

It is an arithmetic number, because the mean of its divisors is an integer number (10910781).

Almost surely, 2117766820 is an apocalyptic number.

117766820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117766820 is an abundant number, since it is smaller than the sum of its proper divisors (144091924).

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

117766820 is a wasteful number, since it uses less digits than its factorization.

117766820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346399 (or 346397 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 117766820 is about 10852.0422041199. The cubic root of 117766820 is about 490.1635161619.

The spelling of 117766820 in words is "one hundred seventeen million, seven hundred sixty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 346373 692746 1385492 1731865 3463730 5888341 6927460 11776682 23553364 29441705 58883410 117766820