Search a number
-
+
238585520 = 24517916661
BaseRepresentation
bin11100011100010…
…00011010110000
3121121221101210202
432032020122300
5442034214040
635401414332
75624641415
oct1616103260
9547841722
10238585520
11112747918
1267a9a3a8
133a577084
142398810c
1515e2c015
hexe3886b0

238585520 has 40 divisors (see below), whose sum is σ = 557843760. Its totient is φ = 94895360.

The previous prime is 238585513. The next prime is 238585547. The reversal of 238585520 is 25585832.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5990 + ... + 22650.

It is an arithmetic number, because the mean of its divisors is an integer number (13946094).

Almost surely, 2238585520 is an apocalyptic number.

238585520 is a gapful number since it is divisible by the number (20) 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 238585520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278921880).

238585520 is an abundant number, since it is smaller than the sum of its proper divisors (319258240).

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

238585520 is a wasteful number, since it uses less digits than its factorization.

238585520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16853 (or 16847 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 38.

The square root of 238585520 is about 15446.2137755503. The cubic root of 238585520 is about 620.2232286708.

The spelling of 238585520 in words is "two hundred thirty-eight million, five hundred eighty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 358 716 895 1432 1790 2864 3580 7160 14320 16661 33322 66644 83305 133288 166610 266576 333220 666440 1332880 2982319 5964638 11929276 14911595 23858552 29823190 47717104 59646380 119292760 238585520