Search a number
-
+
258013520 = 24526312263
BaseRepresentation
bin11110110000011…
…11100101010000
3122222111110000022
433120033211100
51012022413040
641334043012
76252036002
oct1730174520
9588443008
10258013520
11122707416
12724a9468
13415ba02b
14263a4372
15179b86b5
hexf60f950

258013520 has 40 divisors (see below), whose sum is σ = 602211456. Its totient is φ = 102804608.

The previous prime is 258013519. The next prime is 258013523. The reversal of 258013520 is 25310852.

258013520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 258013520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258013523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14909 + ... + 27171.

Almost surely, 2258013520 is an apocalyptic number.

258013520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258013520 is an abundant number, since it is smaller than the sum of its proper divisors (344197936).

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

258013520 is a wasteful number, since it uses less digits than its factorization.

258013520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12539 (or 12533 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 258013520 is about 16062.7992579127. The cubic root of 258013520 is about 636.6207959545.

The spelling of 258013520 in words is "two hundred fifty-eight million, thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 263 526 1052 1315 2104 2630 4208 5260 10520 12263 21040 24526 49052 61315 98104 122630 196208 245260 490520 981040 3225169 6450338 12900676 16125845 25801352 32251690 51602704 64503380 129006760 258013520