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1472310840 = 233572111317103
BaseRepresentation
bin101011111000001…
…1010111000111000
310210121102010210010
41113300122320320
511003402421330
6402032421520
751325302300
oct12760327070
93717363703
101472310840
11696098a20
123510a78a0
131a6049060
14dd776600
15893ca3b0
hex57c1ae38

1472310840 has 768 divisors, whose sum is σ = 6453457920. Its totient is φ = 263208960.

The previous prime is 1472310821. The next prime is 1472310887. The reversal of 1472310840 is 480132741.

1472310840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1472310798 and 1472310807.

It is a congruent number.

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, 14294229 + ... + 14294331.

It is an arithmetic number, because the mean of its divisors is an integer number (8402940).

Almost surely, 21472310840 is an apocalyptic number.

1472310840 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 1472310840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226728960).

1472310840 is an abundant number, since it is smaller than the sum of its proper divisors (4981147080).

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

1472310840 is a wasteful number, since it uses less digits than its factorization.

1472310840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1472310840 is about 38370.7028864471. The cubic root of 1472310840 is about 1137.6268576468.

The spelling of 1472310840 in words is "one billion, four hundred seventy-two million, three hundred ten thousand, eight hundred forty".