Search a number
-
+
1525040020 = 225747534373
BaseRepresentation
bin101101011100110…
…0100001110010100
310221021122001121201
41122321210032110
511110402240040
6411154522244
752535424550
oct13271441624
93837561551
101525040020
11712933159
12366896384
131b3c4b75a
14106780860
158dd43a9a
hex5ae64394

1525040020 has 96 divisors (see below), whose sum is σ = 3809369088. Its totient is φ = 501975552.

The previous prime is 1525039993. The next prime is 1525040039. The reversal of 1525040020 is 200405251.

It is a self number, because there is not a number n which added to its sum of digits gives 1525040020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346554 + ... + 350926.

It is an arithmetic number, because the mean of its divisors is an integer number (39680928).

Almost surely, 21525040020 is an apocalyptic number.

1525040020 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 1525040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904684544).

1525040020 is an abundant number, since it is smaller than the sum of its proper divisors (2284329068).

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

1525040020 is a wasteful number, since it uses less digits than its factorization.

1525040020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 1525040020 is about 39051.7607797651. The cubic root of 1525040020 is about 1151.0488276522.

Adding to 1525040020 its reverse (200405251), we get a palindrome (1725445271).

The spelling of 1525040020 in words is "one billion, five hundred twenty-five million, forty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 53 70 94 106 140 188 212 235 265 329 371 470 530 658 742 940 1060 1316 1484 1645 1855 2491 3290 3710 4373 4982 6580 7420 8746 9964 12455 17437 17492 21865 24910 30611 34874 43730 49820 61222 69748 87185 87460 122444 153055 174370 205531 231769 306110 348740 411062 463538 612220 822124 927076 1027655 1158845 1438717 1622383 2055310 2317690 2877434 3244766 4110620 4635380 5754868 6489532 7193585 8111915 10893143 14387170 16223830 21786286 28774340 32447660 43572572 54465715 76252001 108931430 152504002 217862860 305008004 381260005 762520010 1525040020