Search a number
-
+
117592320 = 2835113271
BaseRepresentation
bin1110000001001…
…01000100000000
322012021022100010
413000211010000
5220100423240
615400224520
72625342516
oct700450400
9265238303
10117592320
116041793a
123346b140
131b493071
14118904b6
15a4cc280
hex7025100

117592320 has 144 divisors (see below), whose sum is σ = 380282112. Its totient is φ = 30965760.

The previous prime is 117592309. The next prime is 117592333. The reversal of 117592320 is 23295711.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433785 + ... + 434055.

It is an arithmetic number, because the mean of its divisors is an integer number (2640848).

Almost surely, 2117592320 is an apocalyptic number.

117592320 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 117592320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190141056).

117592320 is an abundant number, since it is smaller than the sum of its proper divisors (262689792).

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

117592320 is a wasteful number, since it uses less digits than its factorization.

117592320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 117592320 is about 10843.9992622648. Note that the first 3 decimals coincide. The cubic root of 117592320 is about 489.9212979249.

The spelling of 117592320 in words is "one hundred seventeen million, five hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 128 160 192 226 240 256 271 320 339 384 452 480 542 565 640 678 768 813 904 960 1084 1130 1280 1355 1356 1626 1695 1808 1920 2168 2260 2710 2712 3252 3390 3616 3840 4065 4336 4520 5420 5424 6504 6780 7232 8130 8672 9040 10840 10848 13008 13560 14464 16260 17344 18080 21680 21696 26016 27120 28928 30623 32520 34688 36160 43360 43392 52032 54240 61246 65040 69376 72320 86720 86784 91869 104064 108480 122492 130080 144640 153115 173440 183738 208128 216960 244984 260160 306230 346880 367476 433920 459345 489968 520320 612460 734952 918690 979936 1040640 1224920 1469904 1837380 1959872 2449840 2939808 3674760 3919744 4899680 5879616 7349520 7839488 9799360 11759232 14699040 19598720 23518464 29398080 39197440 58796160 117592320