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117661110 = 23571937797
BaseRepresentation
bin1110000001101…
…01110110110110
322012101210200220
413000311312312
5220110123420
615401515210
72626050210
oct700656666
9265353626
10117661110
1160464596
12334a2b06
131b4b8478
14118ab5b0
15a4e2840
hex7035db6

117661110 has 128 divisors (see below), whose sum is σ = 349332480. Its totient is φ = 24758784.

The previous prime is 117661079. The next prime is 117661111. The reversal of 117661110 is 11166711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117661111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147232 + ... + 148028.

It is an arithmetic number, because the mean of its divisors is an integer number (2729160).

Almost surely, 2117661110 is an apocalyptic number.

117661110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117661110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174666240).

117661110 is an abundant number, since it is smaller than the sum of its proper divisors (231671370).

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

117661110 is a wasteful number, since it uses less digits than its factorization.

117661110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870.

The product of its (nonzero) digits is 252, while the sum is 24.

The square root of 117661110 is about 10847.1705988244. The cubic root of 117661110 is about 490.0168118624.

The spelling of 117661110 in words is "one hundred seventeen million, six hundred sixty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 37 38 42 57 70 74 95 105 111 114 133 185 190 210 222 259 266 285 370 399 518 555 570 665 703 777 797 798 1110 1295 1330 1406 1554 1594 1995 2109 2391 2590 3515 3885 3985 3990 4218 4782 4921 5579 7030 7770 7970 9842 10545 11158 11955 14763 15143 16737 21090 23910 24605 27895 29489 29526 30286 33474 45429 49210 55790 58978 73815 75715 83685 88467 90858 106001 147445 147630 151430 167370 176934 206423 212002 227145 294890 318003 412846 442335 454290 530005 560291 619269 636006 884670 1032115 1060010 1120582 1238538 1590015 1680873 2064230 2801455 3096345 3180030 3361746 3922037 5602910 6192690 7844074 8404365 11766111 16808730 19610185 23532222 39220370 58830555 117661110