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117297960 = 233513174423
BaseRepresentation
bin1101111110111…
…01001100101000
322011201100112220
412333131030220
5220012013320
615350034040
72623005363
oct677351450
9264640486
10117297960
116023676a
1233348920
131b3bc0a0
14118150da
15a46ee40
hex6fdd328

117297960 has 128 divisors (see below), whose sum is σ = 401345280. Its totient is φ = 27168768.

The previous prime is 117297949. The next prime is 117297967. The reversal of 117297960 is 69792711.

It is a happy number.

It is a super-2 number, since 2×1172979602 = 27517622840323200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (117297967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24309 + ... + 28731.

It is an arithmetic number, because the mean of its divisors is an integer number (3135510).

Almost surely, 2117297960 is an apocalyptic number.

117297960 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 117297960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200672640).

117297960 is an abundant number, since it is smaller than the sum of its proper divisors (284047320).

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

117297960 is a wasteful number, since it uses less digits than its factorization.

117297960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 42.

The square root of 117297960 is about 10830.4182744712. The cubic root of 117297960 is about 489.5121619836.

The spelling of 117297960 in words is "one hundred seventeen million, two hundred ninety-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 195 204 221 255 260 312 340 390 408 442 510 520 663 680 780 884 1020 1105 1326 1560 1768 2040 2210 2652 3315 4420 4423 5304 6630 8840 8846 13260 13269 17692 22115 26520 26538 35384 44230 53076 57499 66345 75191 88460 106152 114998 132690 150382 172497 176920 225573 229996 265380 287495 300764 344994 375955 451146 459992 530760 574990 601528 689988 751910 862485 902292 977483 1127865 1149980 1379976 1503820 1724970 1804584 1954966 2255730 2299960 2932449 3007640 3449940 3909932 4511460 4887415 5864898 6899880 7819864 9022920 9774830 11729796 14662245 19549660 23459592 29324490 39099320 58648980 117297960