Search a number
-
+
1325928240 = 24325741359
BaseRepresentation
bin100111100001000…
…0000111100110000
310102101222010121100
41033002000330300
510203414200430
6335323124400
744600130000
oct11702007460
93371863540
101325928240
116204a756a
12310073700
13181915830
14c8150000
157b612960
hex4f080f30

1325928240 has 600 divisors, whose sum is σ = 5689167120. Its totient is φ = 275014656.

The previous prime is 1325928239. The next prime is 1325928251. The reversal of 1325928240 is 428295231.

It is a happy number.

1325928240 is a `hidden beast` number, since 1 + 325 + 92 + 8 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1325928195 and 1325928204.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22473331 + ... + 22473389.

Almost surely, 21325928240 is an apocalyptic number.

1325928240 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 1325928240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844583560).

1325928240 is an abundant number, since it is smaller than the sum of its proper divisors (4363238880).

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

1325928240 is a wasteful number, since it uses less digits than its factorization.

1325928240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1325928240 is about 36413.2975710797. The cubic root of 1325928240 is about 1098.6010425254.

The spelling of 1325928240 in words is "one billion, three hundred twenty-five million, nine hundred twenty-eight thousand, two hundred forty".