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117056430 = 232523193293
BaseRepresentation
bin1101111101000…
…10001110101110
322011021002020100
412332202032232
5214431301210
615340531530
72620651251
oct676421656
9264232210
10117056430
1160091257
1233250ba6
131b33617a
1411791098
15a4235c0
hex6fa23ae

117056430 has 96 divisors (see below), whose sum is σ = 320314176. Its totient is φ = 29601792.

The previous prime is 117056417. The next prime is 117056431. The reversal of 117056430 is 34650711.

117056430 is a `hidden beast` number, since 1 + 1 + 70 + 564 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 117056394 and 117056403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117056431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399364 + ... + 399656.

It is an arithmetic number, because the mean of its divisors is an integer number (3336606).

Almost surely, 2117056430 is an apocalyptic number.

117056430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117056430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160157088).

117056430 is an abundant number, since it is smaller than the sum of its proper divisors (203257746).

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

117056430 is a wasteful number, since it uses less digits than its factorization.

117056430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 117056430 is about 10819.2619896183. The cubic root of 117056430 is about 489.1759438133.

It can be divided in two parts, 1170 and 56430, that added together give a square (57600 = 2402).

The spelling of 117056430 in words is "one hundred seventeen million, fifty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 193 207 230 293 345 386 414 579 586 690 879 965 1035 1158 1465 1737 1758 1930 2070 2637 2895 2930 3474 4395 4439 5274 5790 6739 8685 8790 8878 13185 13317 13478 17370 20217 22195 26370 26634 33695 39951 40434 44390 56549 60651 66585 67390 79902 101085 113098 121302 133170 169647 199755 202170 282745 303255 339294 399510 508941 565490 606510 848235 1017882 1300627 1696470 2544705 2601254 3901881 5089410 6503135 7803762 11705643 13006270 19509405 23411286 39018810 58528215 117056430