Search a number
-
+
117482760 = 233253071063
BaseRepresentation
bin1110000000010…
…10010100001000
322012001202001100
413000022110020
5220033422020
615354021400
72624405223
oct700122410
9265052040
10117482760
116035259a
1233417860
131b455235
14118625ba
15a4a9a90
hex700a508

117482760 has 96 divisors (see below), whose sum is σ = 383423040. Its totient is φ = 31197312.

The previous prime is 117482737. The next prime is 117482773. The reversal of 117482760 is 67284711.

117482760 is a `hidden beast` number, since 117 + 482 + 7 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109989 + ... + 111051.

It is an arithmetic number, because the mean of its divisors is an integer number (3993990).

Almost surely, 2117482760 is an apocalyptic number.

117482760 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 117482760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191711520).

117482760 is an abundant number, since it is smaller than the sum of its proper divisors (265940280).

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

117482760 is a wasteful number, since it uses less digits than its factorization.

117482760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 117482760 is about 10838.9464432665. The cubic root of 117482760 is about 489.7690984847.

The spelling of 117482760 in words is "one hundred seventeen million, four hundred eighty-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 307 360 614 921 1063 1228 1535 1842 2126 2456 2763 3070 3189 3684 4252 4605 5315 5526 6140 6378 7368 8504 9210 9567 10630 11052 12280 12756 13815 15945 18420 19134 21260 22104 25512 27630 31890 36840 38268 42520 47835 55260 63780 76536 95670 110520 127560 191340 326341 382680 652682 979023 1305364 1631705 1958046 2610728 2937069 3263410 3916092 4895115 5874138 6526820 7832184 9790230 11748276 13053640 14685345 19580460 23496552 29370690 39160920 58741380 117482760