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117377024 = 211371549
BaseRepresentation
bin1101111111100…
…00100000000000
322011212101000012
412333300200000
5220022031044
615351444052
72623455032
oct677604000
9264771005
10117377024
1160290106
1233386628
131b41907b
1411835c52
15a48859e
hex6ff0800

117377024 has 48 divisors (see below), whose sum is σ = 241195500. Its totient is φ = 57065472.

The previous prime is 117377017. The next prime is 117377047. The reversal of 117377024 is 420773711.

It can be written as a sum of positive squares in 2 ways, for example, as 114918400 + 2458624 = 10720^2 + 1568^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75002 + ... + 76550.

Almost surely, 2117377024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117377024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120597750).

117377024 is an abundant number, since it is smaller than the sum of its proper divisors (123818476).

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

117377024 is an equidigital number, since it uses as much as digits as its factorization.

117377024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 32.

The square root of 117377024 is about 10834.0677494651. The cubic root of 117377024 is about 489.6221215459.

The spelling of 117377024 in words is "one hundred seventeen million, three hundred seventy-seven thousand, twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 1549 2048 2368 3098 4736 6196 9472 12392 18944 24784 37888 49568 57313 75776 99136 114626 198272 229252 396544 458504 793088 917008 1586176 1834016 3172352 3668032 7336064 14672128 29344256 58688512 117377024