Search a number
-
+
117467064 = 233311133803
BaseRepresentation
bin1110000000001…
…10011110111000
322012000221112000
413000012132320
5220032421224
615353421000
72624311401
oct700063670
9265027460
10117467064
1160341820
123340a760
131b44b050
141185a9a8
15a4a50c9
hex70067b8

117467064 has 128 divisors (see below), whose sum is σ = 383443200. Its totient is φ = 32849280.

The previous prime is 117467041. The next prime is 117467083. The reversal of 117467064 is 460764711.

It is a super-2 number, since 2×1174670642 = 27597022249560192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 28987 + ... + 32789.

It is an arithmetic number, because the mean of its divisors is an integer number (2995650).

Almost surely, 2117467064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117467064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191721600).

117467064 is an abundant number, since it is smaller than the sum of its proper divisors (265976136).

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

117467064 is a wasteful number, since it uses less digits than its factorization.

117467064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3842 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 117467064 is about 10838.2223634690. Note that the first 3 decimals coincide. The cubic root of 117467064 is about 489.7472860413.

The spelling of 117467064 in words is "one hundred seventeen million, four hundred sixty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 198 216 234 264 286 297 312 351 396 429 468 572 594 702 792 858 936 1144 1188 1287 1404 1716 2376 2574 2808 3432 3803 3861 5148 7606 7722 10296 11409 15212 15444 22818 30424 30888 34227 41833 45636 49439 68454 83666 91272 98878 102681 125499 136908 148317 167332 197756 205362 250998 273816 296634 334664 376497 395512 410724 444951 501996 543829 593268 752994 821448 889902 1003992 1087658 1129491 1186536 1334853 1505988 1631487 1779804 2175316 2258982 2669706 3011976 3262974 3559608 4350632 4517964 4894461 5339412 6525948 9035928 9788922 10678824 13051896 14683383 19577844 29366766 39155688 58733532 117467064