Search a number
-
+
1025597440 = 21357373
BaseRepresentation
bin111101001000010…
…110000000000000
32122110211202012101
4331020112000000
54100023104230
6245434040144
734262302000
oct7510260000
92573752171
101025597440
11486a1759a
12247579054
131346302ba
149a2d2000
156008aaca
hex3d216000

1025597440 has 224 divisors, whose sum is σ = 2909620800. Its totient is φ = 346816512.

The previous prime is 1025597407. The next prime is 1025597449. The reversal of 1025597440 is 447955201.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 1025597440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025597449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14049244 + ... + 14049316.

Almost surely, 21025597440 is an apocalyptic number.

1025597440 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 1025597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454810400).

1025597440 is an abundant number, since it is smaller than the sum of its proper divisors (1884023360).

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

1025597440 is an frugal number, since it uses more digits than its factorization.

1025597440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 1025597440 is about 32024.9502731854. The cubic root of 1025597440 is about 1008.4606947625.

The spelling of 1025597440 in words is "one billion, twenty-five million, five hundred ninety-seven thousand, four hundred forty".