Search a number
-
+
13140578220 = 223571121931439
BaseRepresentation
bin11000011110011110…
…10100111110101100
31020220210022112112020
430033033110332230
5203402442000340
610011532110140
7643431033450
oct141717247654
936823275466
1013140578220
115633571a00
122668905350
131315552293
148c92c0660
1551d96e9d0
hex30f3d4fac

13140578220 has 576 divisors, whose sum is σ = 50336563200. Its totient is φ = 2497651200.

The previous prime is 13140578219. The next prime is 13140578317. The reversal of 13140578220 is 2287504131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29932761 + ... + 29933199.

Almost surely, 213140578220 is an apocalyptic number.

13140578220 is a gapful number since it is divisible by the number (10) 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 13140578220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25168281600).

13140578220 is an abundant number, since it is smaller than the sum of its proper divisors (37195984980).

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

13140578220 is a wasteful number, since it uses less digits than its factorization.

13140578220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 13140578220 in words is "thirteen billion, one hundred forty million, five hundred seventy-eight thousand, two hundred twenty".