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117125880 = 233519471093
BaseRepresentation
bin1101111101100…
…11001011111000
322011101121111120
412332303023320
5214441012010
615342225240
72621360604
oct676631370
9264347446
10117125880
1160129453
1233285220
131b35b971
14117ac504
15a438e70
hex6fb32f8

117125880 has 128 divisors (see below), whose sum is σ = 378086400. Its totient is φ = 28933632.

The previous prime is 117125873. The next prime is 117125891. The reversal of 117125880 is 88521711.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106614 + ... + 107706.

It is an arithmetic number, because the mean of its divisors is an integer number (2953800).

Almost surely, 2117125880 is an apocalyptic number.

117125880 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 117125880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189043200).

117125880 is an abundant number, since it is smaller than the sum of its proper divisors (260960520).

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

117125880 is a wasteful number, since it uses less digits than its factorization.

117125880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 33.

The square root of 117125880 is about 10822.4710671824. The cubic root of 117125880 is about 489.2726679679.

The spelling of 117125880 in words is "one hundred seventeen million, one hundred twenty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 47 57 60 76 94 95 114 120 141 152 188 190 228 235 282 285 376 380 456 470 564 570 705 760 893 940 1093 1128 1140 1410 1786 1880 2186 2280 2679 2820 3279 3572 4372 4465 5358 5465 5640 6558 7144 8744 8930 10716 10930 13116 13395 16395 17860 20767 21432 21860 26232 26790 32790 35720 41534 43720 51371 53580 62301 65580 83068 102742 103835 107160 124602 131160 154113 166136 205484 207670 249204 256855 308226 311505 410968 415340 498408 513710 616452 623010 770565 830680 976049 1027420 1232904 1246020 1541130 1952098 2054840 2492040 2928147 3082260 3904196 4880245 5856294 6164520 7808392 9760490 11712588 14640735 19520980 23425176 29281470 39041960 58562940 117125880