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117923040 = 25375337
BaseRepresentation
bin1110000011101…
…01110011100000
322012220010000000
413001311303200
5220142014130
615411300000
72631220644
oct701656340
9265803000
10117923040
1160623364
12335aa600
131b57a761
1411938c24
15a545260
hex7075ce0

117923040 has 192 divisors, whose sum is σ = 419065920. Its totient is φ = 31352832.

The previous prime is 117922993. The next prime is 117923041. The reversal of 117923040 is 40329711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 117922995 and 117923013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117923041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 349752 + ... + 350088.

It is an arithmetic number, because the mean of its divisors is an integer number (2182635).

Almost surely, 2117923040 is an apocalyptic number.

117923040 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 117923040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209532960).

117923040 is an abundant number, since it is smaller than the sum of its proper divisors (301142880).

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

117923040 is an frugal number, since it uses more digits than its factorization.

117923040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 117923040 is about 10859.2375422955. The cubic root of 117923040 is about 490.3801575746.

The spelling of 117923040 in words is "one hundred seventeen million, nine hundred twenty-three thousand, forty".