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117167076 = 223213298997
BaseRepresentation
bin1101111101111…
…01001111100100
322011110201000100
412332331033210
5214443321301
615343144100
72621621655
oct676751744
9264421010
10117167076
11601573a4
12332a5030
131b374640
14117bd52c
15a446286
hex6fbd3e4

117167076 has 144 divisors (see below), whose sum is σ = 337100400. Its totient is φ = 34062336.

The previous prime is 117167041. The next prime is 117167087. The reversal of 117167076 is 670761711.

It can be written as a sum of positive squares in 8 ways, for example, as 15681600 + 101485476 = 3960^2 + 10074^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 117167076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1207860 + ... + 1207956.

It is an arithmetic number, because the mean of its divisors is an integer number (2340975).

Almost surely, 2117167076 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 117167076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168550200).

117167076 is an abundant number, since it is smaller than the sum of its proper divisors (219933324).

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

117167076 is a wasteful number, since it uses less digits than its factorization.

117167076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The square root of 117167076 is about 10824.3741620474. The cubic root of 117167076 is about 489.3300242475.

The spelling of 117167076 in words is "one hundred seventeen million, one hundred sixty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 89 97 116 117 156 174 178 194 234 261 267 291 348 356 377 388 468 522 534 582 754 801 873 1044 1068 1131 1157 1164 1261 1508 1602 1746 2262 2314 2522 2581 2813 3204 3393 3471 3492 3783 4524 4628 5044 5162 5626 6786 6942 7566 7743 8439 8633 10324 10413 11252 11349 13572 13884 15132 15486 16878 17266 20826 22698 23229 25317 25899 30972 33553 33756 34532 36569 41652 45396 46458 50634 51798 67106 73138 77697 92916 100659 101268 103596 109707 112229 134212 146276 155394 201318 219414 224458 250357 301977 310788 329121 336687 402636 438828 448916 500714 603954 658242 673374 751071 1001428 1010061 1207908 1316484 1346748 1502142 2020122 2253213 3004284 3254641 4040244 4506426 6509282 9012852 9763923 13018564 19527846 29291769 39055692 58583538 117167076