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117994500 = 223253132017
BaseRepresentation
bin1110000100001…
…11010000000100
322020000202000200
413002013100010
5220201311000
615413010500
72631636201
oct702072004
9266022020
10117994500
1160672018
1233623a30
131b5a4140
1411956ca8
15a55b500
hex7087404

117994500 has 144 divisors (see below), whose sum is σ = 401065392. Its totient is φ = 29030400.

The previous prime is 117994493. The next prime is 117994507. The reversal of 117994500 is 5499711.

117994500 is a `hidden beast` number, since 117 + 99 + 450 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (117994493) and next prime (117994507).

It can be written as a sum of positive squares in 8 ways, for example, as 38713284 + 79281216 = 6222^2 + 8904^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (117994507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57492 + ... + 59508.

Almost surely, 2117994500 is an apocalyptic number.

117994500 is a gapful number since it is divisible by the number (10) 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 117994500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200532696).

117994500 is an abundant number, since it is smaller than the sum of its proper divisors (283070892).

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

117994500 is a wasteful number, since it uses less digits than its factorization.

117994500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 117994500 is about 10862.5273302303. The cubic root of 117994500 is about 490.4791924762.

The spelling of 117994500 in words is "one hundred seventeen million, nine hundred ninety-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 125 130 150 156 180 195 225 234 250 260 300 325 375 390 450 468 500 585 650 750 780 900 975 1125 1170 1300 1500 1625 1950 2017 2250 2340 2925 3250 3900 4034 4500 4875 5850 6051 6500 8068 9750 10085 11700 12102 14625 18153 19500 20170 24204 26221 29250 30255 36306 40340 50425 52442 58500 60510 72612 78663 90765 100850 104884 121020 131105 151275 157326 181530 201700 235989 252125 262210 302550 314652 363060 393315 453825 471978 504250 524420 605100 655525 756375 786630 907650 943956 1008500 1179945 1311050 1512750 1573260 1815300 1966575 2269125 2359890 2622100 3025500 3277625 3933150 4538250 4719780 5899725 6555250 7866300 9076500 9832875 11799450 13110500 19665750 23598900 29498625 39331500 58997250 117994500