Search a number
-
+
117528570 = 2345373389
BaseRepresentation
bin1110000000101…
…01011111111010
322012011001220000
413000111133322
5220041403240
615355013430
72624655615
oct700253772
9265131800
10117528570
1160383a55
123343a276
131b470043
141187517c
15a4b8430
hex70157fa

117528570 has 80 divisors (see below), whose sum is σ = 317683080. Its totient is φ = 31176576.

The previous prime is 117528559. The next prime is 117528583. The reversal of 117528570 is 75825711.

117528570 is a `hidden beast` number, since 11 + 75 + 2 + 8 + 570 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82137969 + 35390601 = 9063^2 + 5949^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 301936 + ... + 302324.

Almost surely, 2117528570 is an apocalyptic number.

117528570 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 117528570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158841540).

117528570 is an abundant number, since it is smaller than the sum of its proper divisors (200154510).

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

117528570 is a wasteful number, since it uses less digits than its factorization.

117528570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The square root of 117528570 is about 10841.0594500722. The cubic root of 117528570 is about 489.8327486941.

The spelling of 117528570 in words is "one hundred seventeen million, five hundred twenty-eight thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 373 389 405 746 778 810 1119 1167 1865 1945 2238 2334 3357 3501 3730 3890 5595 5835 6714 7002 10071 10503 11190 11670 16785 17505 20142 21006 30213 31509 33570 35010 50355 52515 60426 63018 100710 105030 145097 151065 157545 290194 302130 315090 435291 725485 870582 1305873 1450970 2176455 2611746 3917619 4352910 6529365 7835238 11752857 13058730 19588095 23505714 39176190 58764285 117528570