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117164376 = 23327317499
BaseRepresentation
bin1101111101111…
…00100101011000
322011110120022100
412332330211120
5214443230001
615343123400
72621611050
oct676744530
9264416270
10117164376
116015536a
12332a3560
131b373344
14117bc560
15a445586
hex6fbc958

117164376 has 96 divisors (see below), whose sum is σ = 374400000. Its totient is φ = 32391360.

The previous prime is 117164363. The next prime is 117164417. The reversal of 117164376 is 673461711.

117164376 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 643 + 7 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 117164376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11875 + ... + 19373.

It is an arithmetic number, because the mean of its divisors is an integer number (3900000).

Almost surely, 2117164376 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 117164376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187200000).

117164376 is an abundant number, since it is smaller than the sum of its proper divisors (257235624).

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

117164376 is a wasteful number, since it uses less digits than its factorization.

117164376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7549 (or 7542 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 117164376 is about 10824.2494428020. The cubic root of 117164376 is about 489.3262655090.

The spelling of 117164376 in words is "one hundred seventeen million, one hundred sixty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7499 7812 14998 15624 22497 29996 44994 52493 59992 67491 89988 104986 134982 157479 179976 209972 232469 269964 314958 419944 464938 472437 539928 629916 697407 929876 944874 1259832 1394814 1627283 1859752 1889748 2092221 2789628 3254566 3779496 4184442 4881849 5579256 6509132 8368884 9763698 13018264 14645547 16737768 19527396 29291094 39054792 58582188 117164376