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117153540 = 22345710331
BaseRepresentation
bin1101111101110…
…01111100000100
322011110000110000
412332321330010
5214442403130
615343001300
72621534340
oct676717404
9264400400
10117153540
1160148209
1233299230
131b36b42a
14117b8620
15a442260
hex6fb9f04

117153540 has 120 divisors (see below), whose sum is σ = 420057792. Its totient is φ = 26775360.

The previous prime is 117153521. The next prime is 117153643. The reversal of 117153540 is 45351711.

117153540 is a `hidden beast` number, since 1 + 1 + 71 + 53 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6175 + ... + 16505.

Almost surely, 2117153540 is an apocalyptic number.

117153540 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 117153540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210028896).

117153540 is an abundant number, since it is smaller than the sum of its proper divisors (302904252).

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

117153540 is a wasteful number, since it uses less digits than its factorization.

117153540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10359 (or 10348 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 117153540 is about 10823.7488884397. The cubic root of 117153540 is about 489.3111798573.

The spelling of 117153540 in words is "one hundred seventeen million, one hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 10331 11340 20662 30993 41324 51655 61986 72317 92979 103310 123972 144634 154965 185958 206620 216951 278937 289268 309930 361585 371916 433902 464895 557874 619860 650853 723170 836811 867804 929790 1084755 1115748 1301706 1394685 1446340 1673622 1859580 1952559 2169510 2603412 2789370 3254265 3347244 3905118 4184055 4339020 5578740 5857677 6508530 7810236 8368110 9762795 11715354 13017060 16736220 19525590 23430708 29288385 39051180 58576770 117153540