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1025920900 = 225232032
BaseRepresentation
bin111101001001100…
…100111110000100
32122111110011220101
4331021210332010
54100113432100
6245445013444
734265120014
oct7511447604
92574404811
101025920900
11487118614
122476b4284
131347145b4
149a377c44
156010186a
hex3d264f84

1025920900 has 27 divisors (see below), whose sum is σ = 2226943621. Its totient is φ = 410240240.

The previous prime is 1025920897. The next prime is 1025920921. The reversal of 1025920900 is 90295201.

The square root of 1025920900 is 32030.

It is a perfect power (a square), and thus also a powerful number.

1025920900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 369331524 + 656589376 = 19218^2 + 25624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 318699 + ... + 321901.

Almost surely, 21025920900 is an apocalyptic number.

1025920900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1025920900 is the 32030-th square number.

It is an amenable number.

1025920900 is an abundant number, since it is smaller than the sum of its proper divisors (1201022721).

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

1025920900 is an frugal number, since it uses more digits than its factorization.

1025920900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6420 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The cubic root of 1025920900 is about 1008.5667020505.

The spelling of 1025920900 in words is "one billion, twenty-five million, nine hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3203 6406 12812 16015 32030 64060 80075 160150 320300 10259209 20518418 41036836 51296045 102592090 205184180 256480225 512960450 1025920900