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117300528 = 24331931461
BaseRepresentation
bin1101111110111…
…01110100110000
322011201111002000
412333131310300
5220012104103
615350054000
72623016022
oct677356460
9264644060
10117300528
1160238694
123334a300
131b3c02c7
1411816012
15a470aa3
hex6fddd30

117300528 has 160 divisors (see below), whose sum is σ = 366643200. Its totient is φ = 35769600.

The previous prime is 117300523. The next prime is 117300539. The reversal of 117300528 is 825003711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (117300523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254218 + ... + 254678.

It is an arithmetic number, because the mean of its divisors is an integer number (2291520).

Almost surely, 2117300528 is an apocalyptic number.

117300528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117300528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183321600).

117300528 is an abundant number, since it is smaller than the sum of its proper divisors (249342672).

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

117300528 is a wasteful number, since it uses less digits than its factorization.

117300528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 117300528 is about 10830.5368288003. The cubic root of 117300528 is about 489.5157342482.

The spelling of 117300528 in words is "one hundred seventeen million, three hundred thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 31 36 38 48 54 57 62 72 76 93 108 114 124 144 152 171 186 216 228 248 279 304 342 372 432 456 461 496 513 558 589 684 744 837 912 922 1026 1116 1178 1368 1383 1488 1674 1767 1844 2052 2232 2356 2736 2766 3348 3534 3688 4104 4149 4464 4712 5301 5532 6696 7068 7376 8208 8298 8759 9424 10602 11064 12447 13392 14136 14291 15903 16596 17518 21204 22128 24894 26277 28272 28582 31806 33192 35036 42408 42873 49788 52554 57164 63612 66384 70072 78831 84816 85746 99576 105108 114328 127224 128619 140144 157662 171492 199152 210216 228656 236493 254448 257238 271529 315324 342984 385857 420432 472986 514476 543058 630648 685968 771714 814587 945972 1028952 1086116 1261296 1543428 1629174 1891944 2057904 2172232 2443761 3086856 3258348 3783888 4344464 4887522 6173712 6516696 7331283 9775044 13033392 14662566 19550088 29325132 39100176 58650264 117300528