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1025340400 = 24527366193
BaseRepresentation
bin111101000111010…
…111001111110000
32122110100200121101
4331013113033300
54044441343100
6245424334144
734260151420
oct7507271760
92573320541
101025340400
11486861467
12247474354
131345702c6
149a266480
156003986a
hex3d1d73f0

1025340400 has 60 divisors (see below), whose sum is σ = 2815299472. Its totient is φ = 351544320.

The previous prime is 1025340389. The next prime is 1025340403. The reversal of 1025340400 is 40435201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025340403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180297 + ... + 185896.

Almost surely, 21025340400 is an apocalyptic number.

1025340400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1025340400 is an abundant number, since it is smaller than the sum of its proper divisors (1789959072).

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

1025340400 is a wasteful number, since it uses less digits than its factorization.

1025340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366218 (or 366207 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 1025340400 is about 32020.9369007217. The cubic root of 1025340400 is about 1008.3764393535.

Adding to 1025340400 its reverse (40435201), we get a palindrome (1065775601).

It can be divided in two parts, 10253 and 40400, that added together give a cube (50653 = 373).

The spelling of 1025340400 in words is "one billion, twenty-five million, three hundred forty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 366193 732386 1464772 1830965 2563351 2929544 3661930 5126702 5859088 7323860 9154825 10253404 12816755 14647720 18309650 20506808 25633510 29295440 36619300 41013616 51267020 64083775 73238600 102534040 128167550 146477200 205068080 256335100 512670200 1025340400