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117000900 = 223252711831
BaseRepresentation
bin1101111100101…
…00101011000100
322011011021001200
412332110223010
5214423012100
615335422500
72620330332
oct676245304
9264137050
10117000900
1160053565
1233224a30
131b316b03
1411778b52
15a411e00
hex6f94ac4

117000900 has 108 divisors (see below), whose sum is σ = 372101184. Its totient is φ = 30744000.

The previous prime is 117000899. The next prime is 117000901. The reversal of 117000900 is 9000711.

It is an interprime number because it is at equal distance from previous prime (117000899) and next prime (117000901).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (117000901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62985 + ... + 64815.

Almost surely, 2117000900 is an apocalyptic number.

117000900 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 117000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186050592).

117000900 is an abundant number, since it is smaller than the sum of its proper divisors (255100284).

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

117000900 is a wasteful number, since it uses less digits than its factorization.

117000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 117000900 is about 10816.6954288267. The cubic root of 117000900 is about 489.0985787434.

The spelling of 117000900 in words is "one hundred seventeen million, nine hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 71 75 90 100 142 150 180 213 225 284 300 355 426 450 639 710 852 900 1065 1278 1420 1775 1831 2130 2556 3195 3550 3662 4260 5325 5493 6390 7100 7324 9155 10650 10986 12780 15975 16479 18310 21300 21972 27465 31950 32958 36620 45775 54930 63900 65916 82395 91550 109860 130001 137325 164790 183100 260002 274650 329580 390003 411975 520004 549300 650005 780006 823950 1170009 1300010 1560012 1647900 1950015 2340018 2600020 3250025 3900030 4680036 5850045 6500050 7800060 9750075 11700090 13000100 19500150 23400180 29250225 39000300 58500450 117000900