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117038520 = 2335512041
BaseRepresentation
bin1101111100111…
…01110110111000
322011020011200000
412332131312320
5214430213040
615340313000
72620545114
oct676356670
9264204600
10117038520
1160079855
1233242760
131b32ac81
1411788744
15a41d130
hex6f9ddb8

117038520 has 96 divisors (see below), whose sum is σ = 394495920. Its totient is φ = 31207680.

The previous prime is 117038483. The next prime is 117038521. The reversal of 117038520 is 25830711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117038521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3700 + ... + 15740.

Almost surely, 2117038520 is an apocalyptic number.

117038520 is a gapful number since it is divisible by the number (10) 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 117038520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197247960).

117038520 is an abundant number, since it is smaller than the sum of its proper divisors (277457400).

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

117038520 is a wasteful number, since it uses less digits than its factorization.

117038520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12067 (or 12051 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 117038520 is about 10818.4342674899. The cubic root of 117038520 is about 489.1509940576.

The spelling of 117038520 in words is "one hundred seventeen million, thirty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 12041 24082 36123 48164 60205 72246 96328 108369 120410 144492 180615 216738 240820 288984 325107 361230 433476 481640 541845 650214 722460 866952 975321 1083690 1300428 1444920 1625535 1950642 2167380 2600856 2925963 3251070 3901284 4334760 4876605 5851926 6502140 7802568 9753210 11703852 13004280 14629815 19506420 23407704 29259630 39012840 58519260 117038520