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117324800 = 210524583
BaseRepresentation
bin1101111111000…
…11110000000000
322011202201100222
412333203300000
5220013343200
615350402212
72623146545
oct677436000
9264681328
10117324800
116025494a
1233360368
131b3cb378
1411820bcc
15a477d85
hex6fe3c00

117324800 has 66 divisors (see below), whose sum is σ = 290886888. Its totient is φ = 46919680.

The previous prime is 117324799. The next prime is 117324811. The reversal of 117324800 is 8423711.

It is a self number, because there is not a number n which added to its sum of digits gives 117324800.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 23309 + ... + 27891.

Almost surely, 2117324800 is an apocalyptic number.

117324800 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 117324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145443444).

117324800 is an abundant number, since it is smaller than the sum of its proper divisors (173562088).

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

117324800 is an equidigital number, since it uses as much as digits as its factorization.

117324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4613 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 117324800 is about 10831.6573062482. The cubic root of 117324800 is about 489.5494956947.

The spelling of 117324800 in words is "one hundred seventeen million, three hundred twenty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 4583 5120 6400 9166 12800 18332 22915 25600 36664 45830 73328 91660 114575 146656 183320 229150 293312 366640 458300 586624 733280 916600 1173248 1466560 1833200 2346496 2933120 3666400 4692992 5866240 7332800 11732480 14665600 23464960 29331200 58662400 117324800