Search a number
-
+
117460035 = 325711109311
BaseRepresentation
bin1110000000001…
…00110001000011
322012000120212200
413000010301003
5220032210120
615353324243
72624252040
oct700046103
9265016780
10117460035
1160337510
1233406683
131b447aa4
14118581c7
15a4a2e90
hex7004c43

117460035 has 96 divisors (see below), whose sum is σ = 256988160. Its totient is φ = 48211200.

The previous prime is 117460027. The next prime is 117460037. The reversal of 117460035 is 530064711.

It is not a de Polignac number, because 117460035 - 23 = 117460027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 117459990 and 117460008.

It is not an unprimeable number, because it can be changed into a prime (117460037) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 377530 + ... + 377840.

It is an arithmetic number, because the mean of its divisors is an integer number (2676960).

Almost surely, 2117460035 is an apocalyptic number.

117460035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

117460035 is an abundant number, since it is smaller than the sum of its proper divisors (139528125).

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

117460035 is a wasteful number, since it uses less digits than its factorization.

117460035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 117460035 is about 10837.8980895744. The cubic root of 117460035 is about 489.7375173390.

The spelling of 117460035 in words is "one hundred seventeen million, four hundred sixty thousand, thirty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 109 165 231 311 315 327 385 495 545 693 763 933 981 1155 1199 1555 1635 2177 2289 2799 3421 3465 3597 3815 4665 4905 5995 6531 6867 8393 10263 10791 10885 11445 13995 17105 17985 19593 23947 25179 30789 32655 33899 34335 41965 51315 53955 71841 75537 97965 101697 119735 125895 153945 169495 215523 237293 305091 359205 372889 377685 508485 711879 1077615 1118667 1186465 1525455 1864445 2135637 2610223 3356001 3559395 5593335 7830669 10678185 13051115 16780005 23492007 39153345 117460035