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117821376 = 2632436771
BaseRepresentation
bin1110000010111…
…00111111000000
322012200221112200
413001130333000
5220130241001
615405153200
72630315361
oct701347700
9265627480
10117821376
1160563a42
123355b800
131b5433ba
141190db68
15a525086
hex705cfc0

117821376 has 168 divisors, whose sum is σ = 355665024. Its totient is φ = 37255680.

The previous prime is 117821369. The next prime is 117821377. The reversal of 117821376 is 673128711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 117821376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117821377) 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 23 ways as a sum of consecutive naturals, for example, 1659421 + ... + 1659491.

Almost surely, 2117821376 is an apocalyptic number.

117821376 is a gapful number since it is divisible by the number (16) 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 117821376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177832512).

117821376 is an abundant number, since it is smaller than the sum of its proper divisors (237843648).

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

117821376 is a wasteful number, since it uses less digits than its factorization.

117821376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 117821376 is about 10854.5555413384. Note that the first 4 decimals coincide. The cubic root of 117821376 is about 490.2391946156.

The spelling of 117821376 in words is "one hundred seventeen million, eight hundred twenty-one thousand, three hundred seventy-six".