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117582030 = 2345178539
BaseRepresentation
bin1110000001000…
…10100011001110
322012020210020000
413000202203032
5220100111110
615400105130
72625300516
oct700424316
9265223200
10117582030
1160410135
12334651a6
131b48b487
141188a846
15a4c91c0
hex70228ce

117582030 has 80 divisors (see below), whose sum is σ = 334802160. Its totient is φ = 29507328.

The previous prime is 117582007. The next prime is 117582043. The reversal of 117582030 is 30285711.

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

It is a junction number, because it is equal to n+sod(n) for n = 117581985 and 117582003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9501 + ... + 18039.

It is an arithmetic number, because the mean of its divisors is an integer number (4185027).

Almost surely, 2117582030 is an apocalyptic number.

117582030 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 117582030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167401080).

117582030 is an abundant number, since it is smaller than the sum of its proper divisors (217220130).

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

117582030 is a wasteful number, since it uses less digits than its factorization.

117582030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8575 (or 8566 counting only the distinct ones).

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

The square root of 117582030 is about 10843.5247959324. The cubic root of 117582030 is about 489.9070072036.

The spelling of 117582030 in words is "one hundred seventeen million, five hundred eighty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6885 8539 13770 17078 25617 42695 51234 76851 85390 128085 145163 153702 230553 256170 290326 384255 435489 461106 691659 725815 768510 870978 1152765 1306467 1383318 1451630 2177445 2305530 2612934 3458295 3919401 4354890 6532335 6916590 7838802 11758203 13064670 19597005 23516406 39194010 58791015 117582030