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1925073540 = 22345131719283
BaseRepresentation
bin111001010111110…
…0100101010000100
311222011100212110000
41302233210222010
512420304323130
6515005001300
765463566205
oct16257445204
94864325400
101925073540
118a8721275
12458853230
13248aa2390
141439535ac
15b4012260
hex72be4a84

1925073540 has 480 divisors, whose sum is σ = 7274171520. Its totient is φ = 421023744.

The previous prime is 1925073511. The next prime is 1925073541. The reversal of 1925073540 is 453705291.

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 = 1925073495 and 1925073504.

It is not an unprimeable number, because it can be changed into a prime (1925073541) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6802239 + ... + 6802521.

It is an arithmetic number, because the mean of its divisors is an integer number (15154524).

Almost surely, 21925073540 is an apocalyptic number.

1925073540 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 1925073540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637085760).

1925073540 is an abundant number, since it is smaller than the sum of its proper divisors (5349097980).

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

1925073540 is a wasteful number, since it uses less digits than its factorization.

1925073540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1925073540 is about 43875.6599950360. The cubic root of 1925073540 is about 1243.9868081368.

The spelling of 1925073540 in words is "one billion, nine hundred twenty-five million, seventy-three thousand, five hundred forty".