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117269328 = 24311261331
BaseRepresentation
bin1101111110101…
…10001101010000
322011122220021110
412333112031100
5220010104303
615345253320
72622526041
oct677261520
9264586243
10117269328
1160217200
1233334240
131b3ac047
14118088c8
15a466703
hex6fd6350

117269328 has 120 divisors (see below), whose sum is σ = 339471328. Its totient is φ = 34848000.

The previous prime is 117269323. The next prime is 117269377. The reversal of 117269328 is 823962711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117269323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354123 + ... + 354453.

Almost surely, 2117269328 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 117269328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169735664).

117269328 is an abundant number, since it is smaller than the sum of its proper divisors (222202000).

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

117269328 is a wasteful number, since it uses less digits than its factorization.

117269328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 408 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 117269328 is about 10829.0963611928. The cubic root of 117269328 is about 489.4723293705.

It can be divided in two parts, 1172 and 69328, that added together give a triangular number (70500 = T375).

The spelling of 117269328 in words is "one hundred seventeen million, two hundred sixty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 61 66 88 121 122 132 176 183 242 244 264 331 363 366 484 488 528 662 671 726 732 968 976 993 1324 1342 1452 1464 1936 1986 2013 2648 2684 2904 2928 3641 3972 4026 5296 5368 5808 7282 7381 7944 8052 10736 10923 14564 14762 15888 16104 20191 21846 22143 29128 29524 32208 40051 40382 43692 44286 58256 59048 60573 80102 80764 87384 88572 118096 120153 121146 160204 161528 174768 177144 222101 240306 242292 320408 323056 354288 444202 480612 484584 640816 666303 888404 961224 969168 1332606 1776808 1922448 2443111 2665212 3553616 4886222 5330424 7329333 9772444 10660848 14658666 19544888 29317332 39089776 58634664 117269328