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117082980 = 223257432161
BaseRepresentation
bin1101111101010…
…00101101100100
322011022102122200
412332220231210
5214433123410
615341254500
72621121540
oct676505544
9264272580
10117082980
11600aa1a3
1233264430
131b345291
141179aa20
15a42b3c0
hex6fa8b64

117082980 has 144 divisors (see below), whose sum is σ = 415519104. Its totient is φ = 26127360.

The previous prime is 117082967. The next prime is 117082981. The reversal of 117082980 is 89280711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (117082981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53100 + ... + 55260.

Almost surely, 2117082980 is an apocalyptic number.

117082980 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 117082980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207759552).

117082980 is an abundant number, since it is smaller than the sum of its proper divisors (298436124).

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

117082980 is a wasteful number, since it uses less digits than its factorization.

117082980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 117082980 is about 10820.4888983816. The cubic root of 117082980 is about 489.2129249500.

The spelling of 117082980 in words is "one hundred seventeen million, eighty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 43 45 60 63 70 84 86 90 105 126 129 140 172 180 210 215 252 258 301 315 387 420 430 516 602 630 645 774 860 903 1204 1260 1290 1505 1548 1806 1935 2161 2580 2709 3010 3612 3870 4322 4515 5418 6020 6483 7740 8644 9030 10805 10836 12966 13545 15127 18060 19449 21610 25932 27090 30254 32415 38898 43220 45381 54180 60508 64830 75635 77796 90762 92923 97245 129660 136143 151270 181524 185846 194490 226905 272286 278769 302540 371692 388980 453810 464615 544572 557538 650461 680715 836307 907620 929230 1115076 1300922 1361430 1393845 1672614 1858460 1951383 2601844 2722860 2787690 3252305 3345228 3902766 4181535 5575380 5854149 6504610 7805532 8363070 9756915 11708298 13009220 16726140 19513830 23416596 29270745 39027660 58541490 117082980