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1380856100 = 2252131062197
BaseRepresentation
bin101001001001110…
…0011000100100100
310120020022202110112
41102103203010210
510311444343400
6345004312152
746135040351
oct12223430444
93506282415
101380856100
11649503698
12326542658
13190107c20
14d156b628
1581362835
hex524e3124

1380856100 has 36 divisors (see below), whose sum is σ = 3226957524. Its totient is φ = 509854080.

The previous prime is 1380856073. The next prime is 1380856109. The reversal of 1380856100 is 16580831.

1380856100 is digitally balanced in base 6, 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 6 ways, for example, as 164660224 + 1216195876 = 12832^2 + 34874^2 .

It is not an unprimeable number, because it can be changed into a prime (1380856109) 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, 529799 + ... + 532398.

It is an arithmetic number, because the mean of its divisors is an integer number (89637709).

Almost surely, 21380856100 is an apocalyptic number.

1380856100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1380856100 is an abundant number, since it is smaller than the sum of its proper divisors (1846101424).

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

1380856100 is a wasteful number, since it uses less digits than its factorization.

1380856100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062224 (or 1062217 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 1380856100 is about 37159.8721741612. The cubic root of 1380856100 is about 1113.5664578890.

The spelling of 1380856100 in words is "one billion, three hundred eighty million, eight hundred fifty-six thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1062197 2124394 4248788 5310985 10621970 13808561 21243940 26554925 27617122 53109850 55234244 69042805 106219700 138085610 276171220 345214025 690428050 1380856100