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117099080 = 23573789127
BaseRepresentation
bin1101111101011…
…00101001001000
322011100020201222
412332230221020
5214434132310
615341501212
72621216510
oct676545110
9264306658
10117099080
11601102aa
1233271808
131b34c6c7
14117a2840
15a431055
hex6faca48

117099080 has 128 divisors (see below), whose sum is σ = 315187200. Its totient is φ = 38320128.

The previous prime is 117099067. The next prime is 117099089. The reversal of 117099080 is 80990711.

117099080 = T1 + T2 + ... + T888.

117099080 is a nontrivial binomial coefficient, being equal to C(890, 3).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 117099080.

It is not an unprimeable number, because it can be changed into a prime (117099089) by changing a digit.

It is the 888-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 921977 + ... + 922103.

It is an arithmetic number, because the mean of its divisors is an integer number (2462400).

Almost surely, 2117099080 is an apocalyptic number.

117099080 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 117099080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157593600).

117099080 is an abundant number, since it is smaller than the sum of its proper divisors (198088120).

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

117099080 is a wasteful number, since it uses less digits than its factorization.

117099080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 35.

The square root of 117099080 is about 10821.2328317988. The cubic root of 117099080 is about 489.2353476998.

The spelling of 117099080 in words is "one hundred seventeen million, ninety-nine thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 89 127 140 148 178 185 254 259 280 296 356 370 445 508 518 623 635 712 740 889 890 1016 1036 1246 1270 1295 1480 1778 1780 2072 2492 2540 2590 3115 3293 3556 3560 4445 4699 4984 5080 5180 6230 6586 7112 8890 9398 10360 11303 12460 13172 16465 17780 18796 22606 23051 23495 24920 26344 32893 32930 35560 37592 45212 46102 46990 56515 65786 65860 79121 90424 92204 93980 113030 115255 131572 131720 158242 164465 184408 187960 226060 230510 263144 316484 328930 395605 418211 452120 461020 632968 657860 791210 836422 922040 1315720 1582420 1672844 2091055 2927477 3164840 3345688 4182110 5854954 8364220 11709908 14637385 16728440 23419816 29274770 58549540 117099080