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117190395 = 37571531
BaseRepresentation
bin1101111110000…
…10111011111011
322011111220000000
412333002323323
5220000043040
615343444043
72622046650
oct677027373
9264456000
10117190395
1160172973
12332b6623
131b38213a
14117c7c27
15a44d130
hex6fc2efb

117190395 has 64 divisors (see below), whose sum is σ = 241198080. Its totient is φ = 53537760.

The previous prime is 117190391. The next prime is 117190397. The reversal of 117190395 is 593091711.

117190395 is a nontrivial binomial coefficient, being equal to C(15310, 2).

It is not a de Polignac number, because 117190395 - 22 = 117190391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117190391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75780 + ... + 77310.

It is an arithmetic number, because the mean of its divisors is an integer number (3768720).

Almost surely, 2117190395 is an apocalyptic number.

117190395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

117190395 is the 15309-th triangular number and also the 7655-th hexagonal number.

117190395 is an abundant number, since it is smaller than the sum of its proper divisors (124007685).

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

117190395 is an frugal number, since it uses more digits than its factorization.

117190395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 36.

The square root of 117190395 is about 10825.4512608020. The cubic root of 117190395 is about 489.3624848167.

The spelling of 117190395 in words is "one hundred seventeen million, one hundred ninety thousand, three hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 729 945 1215 1531 1701 2187 2835 3645 4593 5103 7655 8505 10717 10935 13779 15309 22965 25515 32151 41337 53585 68895 76545 96453 124011 160755 206685 289359 372033 482265 620055 868077 1116099 1446795 1860165 2604231 3348297 4340385 5580495 7812693 13021155 16741485 23438079 39063465 117190395