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117131872 = 25112132179
BaseRepresentation
bin1101111101101…
…00101001100000
322011101220201111
412332310221200
5214441204442
615342313104
72621414224
oct676645140
9264356644
10117131872
1160132a00
1233288794
131b361600
14117b0784
15a43ab17
hex6fb4a60

117131872 has 108 divisors (see below), whose sum is σ = 276004260. Its totient is φ = 48871680.

The previous prime is 117131867. The next prime is 117131881. The reversal of 117131872 is 278131711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 654279 + ... + 654457.

It is an arithmetic number, because the mean of its divisors is an integer number (2555595).

Almost surely, 2117131872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117131872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138002130).

117131872 is an abundant number, since it is smaller than the sum of its proper divisors (158872388).

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

117131872 is a wasteful number, since it uses less digits than its factorization.

117131872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 205 counting only the distinct ones).

The product of its digits is 2352, while the sum is 31.

The square root of 117131872 is about 10822.7478950588. The cubic root of 117131872 is about 489.2810113327.

The spelling of 117131872 in words is "one hundred seventeen million, one hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 121 143 169 176 179 208 242 286 338 352 358 416 484 572 676 716 968 1144 1352 1432 1573 1859 1936 1969 2288 2327 2704 2864 3146 3718 3872 3938 4576 4654 5408 5728 6292 7436 7876 9308 12584 14872 15752 18616 20449 21659 25168 25597 29744 30251 31504 37232 40898 43318 50336 51194 59488 60502 63008 74464 81796 86636 102388 121004 163592 173272 204776 242008 281567 327184 332761 346544 409552 484016 563134 654368 665522 693088 819104 968032 1126268 1331044 2252536 2662088 3660371 4505072 5324176 7320742 9010144 10648352 14641484 29282968 58565936 117131872