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117423360 = 2832510193
BaseRepresentation
bin1101111111110…
…11110100000000
322011221201120100
412333323310000
5220030021420
615352442400
72624040105
oct677736400
9264851510
10117423360
11603119aa
12333a9400
131b4341a2
1411848aac
15a497190
hex6ffbd00

117423360 has 108 divisors (see below), whose sum is σ = 406312452. Its totient is φ = 31309824.

The previous prime is 117423359. The next prime is 117423367. The reversal of 117423360 is 63324711.

It can be written as a sum of positive squares in 2 ways, for example, as 63489024 + 53934336 = 7968^2 + 7344^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117423367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6424 + ... + 16616.

Almost surely, 2117423360 is an apocalyptic number.

117423360 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 117423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203156226).

117423360 is an abundant number, since it is smaller than the sum of its proper divisors (288889092).

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

117423360 is a wasteful number, since it uses less digits than its factorization.

117423360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10220 (or 10203 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 117423360 is about 10836.2059781088. The cubic root of 117423360 is about 489.6865411548.

The spelling of 117423360 in words is "one hundred seventeen million, four hundred twenty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 10193 11520 20386 30579 40772 50965 61158 81544 91737 101930 122316 152895 163088 183474 203860 244632 305790 326176 366948 407720 458685 489264 611580 652352 733896 815440 917370 978528 1223160 1304704 1467792 1630880 1834740 1957056 2446320 2609408 2935584 3261760 3669480 3914112 4892640 5871168 6523520 7338960 7828224 9785280 11742336 13047040 14677920 19570560 23484672 29355840 39141120 58711680 117423360