Search a number
-
+
1625139000 = 233253533407
BaseRepresentation
bin110000011011101…
…1010011100111000
311012020222121121100
41200313122130320
511312013422000
6425132211400
755162311402
oct14067323470
94166877540
101625139000
11764391a91
12394309b60
131cb8c8314
14115b99b72
1597a17a00
hex60dda738

1625139000 has 192 divisors, whose sum is σ = 5598253440. Its totient is φ = 425068800.

The previous prime is 1625138981. The next prime is 1625139001. The reversal of 1625139000 is 9315261.

1625139000 is a `hidden beast` number, since 1 + 62 + 513 + 90 + 0 + 0 = 666.

1625139000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1625139001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475297 + ... + 478703.

It is an arithmetic number, because the mean of its divisors is an integer number (29157570).

Almost surely, 21625139000 is an apocalyptic number.

1625139000 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 1625139000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799126720).

1625139000 is an abundant number, since it is smaller than the sum of its proper divisors (3973114440).

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

1625139000 is a wasteful number, since it uses less digits than its factorization.

1625139000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1625139000 is about 40313.0127874363. The cubic root of 1625139000 is about 1175.7008644966.

It can be divided in two parts, 1625 and 139000, that added together give a square (140625 = 3752).

The spelling of 1625139000 in words is "one billion, six hundred twenty-five million, one hundred thirty-nine thousand".