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1325774520 = 233357315657
BaseRepresentation
bin100111100000101…
…1011011010111000
310102101200022202000
41033001123122320
510203344241040
6335315541000
744565616560
oct11701333270
93371608660
101325774520
11620402024
1230bbba760
13181890885
14c810dda0
157b5d2130
hex4f05b6b8

1325774520 has 256 divisors, whose sum is σ = 5214412800. Its totient is φ = 293207040.

The previous prime is 1325774519. The next prime is 1325774573. The reversal of 1325774520 is 254775231.

1325774520 is a `hidden beast` number, since 1 + 32 + 577 + 4 + 52 + 0 = 666.

1325774520 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231532 + ... + 237188.

It is an arithmetic number, because the mean of its divisors is an integer number (20368800).

Almost surely, 21325774520 is an apocalyptic number.

1325774520 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 1325774520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607206400).

1325774520 is an abundant number, since it is smaller than the sum of its proper divisors (3888638280).

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

1325774520 is a wasteful number, since it uses less digits than its factorization.

1325774520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5715 (or 5705 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 1325774520 is about 36411.1867425383. The cubic root of 1325774520 is about 1098.5585858590.

The spelling of 1325774520 in words is "one billion, three hundred twenty-five million, seven hundred seventy-four thousand, five hundred twenty".