Search a number
-
+
15242955840 = 26345784011
BaseRepresentation
bin11100011001000110…
…10000110001000000
31110100022022101110000
432030203100301000
5222204144041330
611000313240000
71046506662330
oct161443206100
943308271400
1015242955840
116512284372
122b54a03000
13158bc933c8
14a485c90c0
155e3306560
hex38c8d0c40

15242955840 has 280 divisors, whose sum is σ = 61968595392. Its totient is φ = 3484062720.

The previous prime is 15242955829. The next prime is 15242955857. The reversal of 15242955840 is 4855924251.

15242955840 is a `hidden beast` number, since 1 + 52 + 4 + 2 + 9 + 558 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 139435 + ... + 223445.

Almost surely, 215242955840 is an apocalyptic number.

15242955840 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 15242955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30984297696).

15242955840 is an abundant number, since it is smaller than the sum of its proper divisors (46725639552).

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

15242955840 is an equidigital number, since it uses as much as digits as its factorization.

15242955840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84047 (or 84028 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 15242955840 in words is "fifteen billion, two hundred forty-two million, nine hundred fifty-five thousand, eight hundred forty".