Search a number
-
+
117060720 = 24357591181
BaseRepresentation
bin1101111101000…
…11010001110000
322011021022010020
412332203101300
5214431420340
615341003440
72620666620
oct676432160
9264238106
10117060720
11600944a7
1233253580
131b3380ca
1411792880
15a4249d0
hex6fa3470

117060720 has 160 divisors (see below), whose sum is σ = 422115840. Its totient is φ = 26280960.

The previous prime is 117060719. The next prime is 117060737. The reversal of 117060720 is 27060711.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98530 + ... + 99710.

It is an arithmetic number, because the mean of its divisors is an integer number (2638224).

Almost surely, 2117060720 is an apocalyptic number.

117060720 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 117060720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211057920).

117060720 is an abundant number, since it is smaller than the sum of its proper divisors (305055120).

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

117060720 is a wasteful number, since it uses less digits than its factorization.

117060720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 117060720 is about 10819.4602453172. The cubic root of 117060720 is about 489.1819196752.

Subtracting from 117060720 its reverse (27060711), we obtain a palindrome (90000009).

The spelling of 117060720 in words is "one hundred seventeen million, sixty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 59 60 70 80 84 105 112 118 120 140 168 177 210 236 240 280 295 336 354 413 420 472 560 590 708 826 840 885 944 1180 1181 1239 1416 1652 1680 1770 2065 2360 2362 2478 2832 3304 3540 3543 4130 4720 4724 4956 5905 6195 6608 7080 7086 8260 8267 9448 9912 11810 12390 14160 14172 16520 16534 17715 18896 19824 23620 24780 24801 28344 33040 33068 35430 41335 47240 49560 49602 56688 66136 69679 70860 82670 94480 99120 99204 124005 132272 139358 141720 165340 198408 209037 248010 278716 283440 330680 348395 396816 418074 487753 496020 557432 661360 696790 836148 975506 992040 1045185 1114864 1393580 1463259 1672296 1951012 1984080 2090370 2438765 2787160 2926518 3344592 3902024 4180740 4877530 5574320 5853036 7316295 7804048 8361480 9755060 11706072 14632590 16722960 19510120 23412144 29265180 39020240 58530360 117060720