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1355488680 = 23357131011229
BaseRepresentation
bin101000011001011…
…0001110110101000
310111110120221220110
41100302301312220
510234001114210
6342300454320
745406315020
oct12062616650
93443527813
101355488680
11636157787
12319b4a3a0
13187a95710
14cc046a80
157e001420
hex50cb1da8

1355488680 has 256 divisors, whose sum is σ = 5058547200. Its totient is φ = 282931200.

The previous prime is 1355488661. The next prime is 1355488691. The reversal of 1355488680 is 868845531.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1102306 + ... + 1103534.

It is an arithmetic number, because the mean of its divisors is an integer number (19759950).

Almost surely, 21355488680 is an apocalyptic number.

1355488680 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 1355488680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529273600).

1355488680 is an abundant number, since it is smaller than the sum of its proper divisors (3703058520).

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

1355488680 is a wasteful number, since it uses less digits than its factorization.

1355488680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The square root of 1355488680 is about 36816.9618518421. The cubic root of 1355488680 is about 1106.7052368777.

The spelling of 1355488680 in words is "one billion, three hundred fifty-five million, four hundred eighty-eight thousand, six hundred eighty".