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1309325472 = 25347213261
BaseRepresentation
bin100111000001010…
…1011100010100000
310101020201121220000
41032002223202200
510140141403342
6333531220000
744306040300
oct11602534240
93336647800
101309325472
11612097674
123065a7600
1317b351800
14c5c6b600
1579e3344c
hex4e0ab8a0

1309325472 has 540 divisors, whose sum is σ = 4929961806. Its totient is φ = 339655680.

The previous prime is 1309325471. The next prime is 1309325503. The reversal of 1309325472 is 2745239031.

It can be written as a sum of positive squares in 3 ways, for example, as 285069456 + 1024256016 = 16884^2 + 32004^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1309325471) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 21464322 + ... + 21464382.

Almost surely, 21309325472 is an apocalyptic number.

1309325472 is a gapful number since it is divisible by the number (12) 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 1309325472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464980903).

1309325472 is an abundant number, since it is smaller than the sum of its proper divisors (3620636334).

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

1309325472 is a wasteful number, since it uses less digits than its factorization.

1309325472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1309325472 is about 36184.6026923055. The cubic root of 1309325472 is about 1093.9963481369.

The spelling of 1309325472 in words is "one billion, three hundred nine million, three hundred twenty-five thousand, four hundred seventy-two".