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117840096 = 2534114133
BaseRepresentation
bin1110000011000…
…01100011100000
322012201220020000
413001201203200
5220131340341
615405420000
72630424063
oct701414340
9265656200
10117840096
1160577010
123356a600
131b54ba8a
14119168da
15a52a8b6
hex70618e0

117840096 has 120 divisors (see below), whose sum is σ = 378161784. Its totient is φ = 35700480.

The previous prime is 117840091. The next prime is 117840119. The reversal of 117840096 is 690048711.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 117840096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117840091) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26446 + ... + 30578.

Almost surely, 2117840096 is an apocalyptic number.

117840096 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 117840096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189080892).

117840096 is an abundant number, since it is smaller than the sum of its proper divisors (260321688).

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

117840096 is a wasteful number, since it uses less digits than its factorization.

117840096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 117840096 is about 10855.4178178456. The cubic root of 117840096 is about 490.2651570571.

The spelling of 117840096 in words is "one hundred seventeen million, eight hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4133 4752 7128 8266 9504 12399 14256 16532 24798 28512 33064 37197 45463 49596 66128 74394 90926 99192 111591 132256 136389 148788 181852 198384 223182 272778 297576 334773 363704 396768 409167 446364 545556 595152 669546 727408 818334 892728 1091112 1190304 1227501 1339092 1454816 1636668 1785456 2182224 2455002 2678184 3273336 3570912 3682503 4364448 4910004 5356368 6546672 7365006 9820008 10712736 13093344 14730012 19640016 29460024 39280032 58920048 117840096