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117617000 = 2353117617
BaseRepresentation
bin1110000001010…
…11000101101000
322012022120012012
413000223011220
5220102221000
615400535052
72625504464
oct700530550
9265276165
10117617000
1160434436
1233481488
131b4a1377
14118994a4
15a4d4735
hex702b168

117617000 has 32 divisors (see below), whose sum is σ = 275226120. Its totient is φ = 47046400.

The previous prime is 117616957. The next prime is 117617029. The reversal of 117617000 is 716711.

It can be written as a sum of positive squares in 4 ways, for example, as 4024036 + 113592964 = 2006^2 + 10658^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 57809 + ... + 59808.

Almost surely, 2117617000 is an apocalyptic number.

117617000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117617000 is an abundant number, since it is smaller than the sum of its proper divisors (157609120).

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

117617000 is a wasteful number, since it uses less digits than its factorization.

117617000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117638 (or 117624 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 23.

The square root of 117617000 is about 10845.1371591142. The cubic root of 117617000 is about 489.9555700379.

The spelling of 117617000 in words is "one hundred seventeen million, six hundred seventeen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 117617 235234 470468 588085 940936 1176170 2352340 2940425 4704680 5880850 11761700 14702125 23523400 29404250 58808500 117617000