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117406872 = 233211532797
BaseRepresentation
bin1101111111101…
…11110010011000
322011220212221200
412333313302120
5220024004442
615352234200
72623641042
oct677676230
9264825850
10117406872
1160300580
123339b960
131b42982b
1411842a92
15a49234c
hex6ff7c98

117406872 has 96 divisors (see below), whose sum is σ = 353555280. Its totient is φ = 34894080.

The previous prime is 117406859. The next prime is 117406907. The reversal of 117406872 is 278604711.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40578 + ... + 43374.

Almost surely, 2117406872 is an apocalyptic number.

117406872 is a gapful number since it is divisible by the number (12) 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 117406872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176777640).

117406872 is an abundant number, since it is smaller than the sum of its proper divisors (236148408).

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

117406872 is a wasteful number, since it uses less digits than its factorization.

117406872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 117406872 is about 10835.4451685198. The cubic root of 117406872 is about 489.6636203049.

The spelling of 117406872 in words is "one hundred seventeen million, four hundred six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 53 66 72 88 99 106 132 159 198 212 264 318 396 424 477 583 636 792 954 1166 1272 1749 1908 2332 2797 3498 3816 4664 5247 5594 6996 8391 10494 11188 13992 16782 20988 22376 25173 30767 33564 41976 50346 61534 67128 92301 100692 123068 148241 184602 201384 246136 276903 296482 369204 444723 553806 592964 738408 889446 1107612 1185928 1334169 1630651 1778892 2215224 2668338 3261302 3557784 4891953 5336676 6522604 9783906 10673352 13045208 14675859 19567812 29351718 39135624 58703436 117406872