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117710820 = 2234572661
BaseRepresentation
bin1110000010000…
…01111111100100
322012111022220000
413001001333210
5220113221240
615402541300
72626345143
oct701017744
9265438800
10117710820
1160498977
1233507830
131b504c96
14118c175a
15a502430
hex7041fe4

117710820 has 60 divisors (see below), whose sum is σ = 369268284. Its totient is φ = 31389120.

The previous prime is 117710819. The next prime is 117710851. The reversal of 117710820 is 28017711.

It can be written as a sum of positive squares in 2 ways, for example, as 20412324 + 97298496 = 4518^2 + 9864^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 34711 + ... + 37950.

Almost surely, 2117710820 is an apocalyptic number.

117710820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117710820 is an abundant number, since it is smaller than the sum of its proper divisors (251557464).

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

117710820 is a wasteful number, since it uses less digits than its factorization.

117710820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72682 (or 72671 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 117710820 is about 10849.4617378006. The cubic root of 117710820 is about 490.0858103223.

The spelling of 117710820 in words is "one hundred seventeen million, seven hundred ten thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 72661 145322 217983 290644 363305 435966 653949 726610 871932 1089915 1307898 1453220 1961847 2179830 2615796 3269745 3923694 4359660 5885541 6539490 7847388 9809235 11771082 13078980 19618470 23542164 29427705 39236940 58855410 117710820