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117925584 = 24372811249
BaseRepresentation
bin1110000011101…
…10011011010000
322012220020111020
413001312123100
5220142104314
615411315440
72631231240
oct701663320
9265806436
10117925584
1160625267
12335abb80
131b57b96a
1411939b20
15a545da9
hex70766d0

117925584 has 80 divisors (see below), whose sum is σ = 349680000. Its totient is φ = 33546240.

The previous prime is 117925543. The next prime is 117925607. The reversal of 117925584 is 485529711.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 93792 + ... + 95040.

It is an arithmetic number, because the mean of its divisors is an integer number (4371000).

Almost surely, 2117925584 is an apocalyptic number.

117925584 is a gapful number since it is divisible by the number (14) 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 117925584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174840000).

117925584 is an abundant number, since it is smaller than the sum of its proper divisors (231754416).

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

117925584 is a wasteful number, since it uses less digits than its factorization.

117925584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1542 counting only the distinct ones).

The product of its digits is 100800, while the sum is 42.

The square root of 117925584 is about 10859.3546769594. The cubic root of 117925584 is about 490.3836839371.

The spelling of 117925584 in words is "one hundred seventeen million, nine hundred twenty-five thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 281 336 562 843 1124 1249 1686 1967 2248 2498 3372 3747 3934 4496 4996 5901 6744 7494 7868 8743 9992 11802 13488 14988 15736 17486 19984 23604 26229 29976 31472 34972 47208 52458 59952 69944 94416 104916 139888 209832 350969 419664 701938 1052907 1403876 2105814 2456783 2807752 4211628 4913566 5615504 7370349 8423256 9827132 14740698 16846512 19654264 29481396 39308528 58962792 117925584