Search a number
-
+
20613520 = 2451723659
BaseRepresentation
bin100111010100…
…0100110010000
31102210021102201
41032220212100
520234113040
62013452544
7340132504
oct116504620
942707381
1020613520
11106aa274
126aa1154
134369765
142a48304
151c22a9a
hex13a8990

20613520 has 80 divisors (see below), whose sum is σ = 53032320. Its totient is φ = 7411712.

The previous prime is 20613491. The next prime is 20613533. The reversal of 20613520 is 2531602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30951 + ... + 31609.

It is an arithmetic number, because the mean of its divisors is an integer number (662904).

Almost surely, 220613520 is an apocalyptic number.

20613520 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 20613520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26516160).

20613520 is an abundant number, since it is smaller than the sum of its proper divisors (32418800).

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

20613520 is a wasteful number, since it uses less digits than its factorization.

20613520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 20613520 is about 4540.2114488204. The cubic root of 20613520 is about 274.1894369023.

The spelling of 20613520 in words is "twenty million, six hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 659 680 782 920 1318 1360 1564 1840 1955 2636 3128 3295 3910 5272 6256 6590 7820 10544 11203 13180 15157 15640 22406 26360 30314 31280 44812 52720 56015 60628 75785 89624 112030 121256 151570 179248 224060 242512 257669 303140 448120 515338 606280 896240 1030676 1212560 1288345 2061352 2576690 4122704 5153380 10306760 20613520