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1325992140 = 22335111931379
BaseRepresentation
bin100111100001001…
…0000100011001100
310102102002101021000
41033002100203030
510203423222030
6335324340300
744600514204
oct11702204314
93372071230
101325992140
11620540580
123100a4690
13181938945
14c8169404
157b626860
hex4f0908cc

1325992140 has 384 divisors, whose sum is σ = 4902912000. Its totient is φ = 293932800.

The previous prime is 1325992139. The next prime is 1325992181. The reversal of 1325992140 is 412995231.

1325992140 is a `hidden beast` number, since 1 + 3 + 2 + 599 + 21 + 40 = 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 = 1325992095 and 1325992104.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3498471 + ... + 3498849.

It is an arithmetic number, because the mean of its divisors is an integer number (12768000).

Almost surely, 21325992140 is an apocalyptic number.

1325992140 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 1325992140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451456000).

1325992140 is an abundant number, since it is smaller than the sum of its proper divisors (3576919860).

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

1325992140 is a wasteful number, since it uses less digits than its factorization.

1325992140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1325992140 is about 36414.1749872217. The cubic root of 1325992140 is about 1098.6186904083.

The spelling of 1325992140 in words is "one billion, three hundred twenty-five million, nine hundred ninety-two thousand, one hundred forty".