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117081090 = 232572139191
BaseRepresentation
bin1101111101010…
…00010000000010
322011022100001200
412332220100002
5214433043330
615341242030
72621113200
oct676502002
9264270050
10117081090
11600a8835
1233263316
131b344469
141179a070
15a42aa60
hex6fa8402

117081090 has 144 divisors (see below), whose sum is σ = 358525440. Its totient is φ = 26429760.

The previous prime is 117081077. The next prime is 117081101. The reversal of 117081090 is 90180711.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 612895 + ... + 613085.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2117081090 is an apocalyptic number.

117081090 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 117081090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

117081090 is an abundant number, since it is smaller than the sum of its proper divisors (241444350).

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

117081090 is a wasteful number, since it uses less digits than its factorization.

117081090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The square root of 117081090 is about 10820.4015637129. The cubic root of 117081090 is about 489.2102925794.

The spelling of 117081090 in words is "one hundred seventeen million, eighty-one thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 139 147 191 210 245 278 294 315 382 417 441 490 573 630 695 735 834 882 955 973 1146 1251 1337 1390 1470 1719 1910 1946 2085 2205 2502 2674 2865 2919 3438 4011 4170 4410 4865 5730 5838 6255 6685 6811 8022 8595 8757 9359 9730 12033 12510 13370 13622 14595 17190 17514 18718 20055 20433 24066 26549 28077 29190 34055 40110 40866 43785 46795 53098 56154 60165 61299 68110 79647 84231 87570 93590 102165 120330 122598 132745 140385 159294 168462 185843 204330 238941 265490 280770 306495 371686 398235 421155 477882 557529 612990 796470 842310 929215 1115058 1194705 1300901 1672587 1858430 2389410 2601802 2787645 3345174 3902703 5575290 6504505 7805406 8362935 11708109 13009010 16725870 19513515 23416218 39027030 58540545 117081090