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1325341920 = 25357794993
BaseRepresentation
bin100111011111111…
…0001110011100000
310102100212100022210
41032333301303200
510203241420140
6335302402120
744562135420
oct11677616340
93370770283
101325341920
11620137001
1230ba30340
1318176b9b6
14c803a480
157b548d80
hex4eff1ce0

1325341920 has 192 divisors, whose sum is σ = 4832593920. Its totient is φ = 299040768.

The previous prime is 1325341909. The next prime is 1325341951. The reversal of 1325341920 is 291435231.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262944 + ... + 267936.

It is an arithmetic number, because the mean of its divisors is an integer number (25169760).

Almost surely, 21325341920 is an apocalyptic number.

1325341920 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 1325341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416296960).

1325341920 is an abundant number, since it is smaller than the sum of its proper divisors (3507252000).

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

1325341920 is a wasteful number, since it uses less digits than its factorization.

1325341920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1325341920 is about 36405.2457758494. The cubic root of 1325341920 is about 1098.4390863674.

The spelling of 1325341920 in words is "one billion, three hundred twenty-five million, three hundred forty-one thousand, nine hundred twenty".