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1355256045 = 3251113474481
BaseRepresentation
bin101000011000111…
…1001000011101101
310111110011010210100
41100301321003231
510233421143140
6342251501313
745404325543
oct12061710355
93443133710
101355256045
11636008a20
12319a57839
13187a13870
14cbdc5d93
157dea7530
hex50c790ed

1355256045 has 96 divisors (see below), whose sum is σ = 2819142144. Its totient is φ = 593510400.

The previous prime is 1355256037. The next prime is 1355256053. The reversal of 1355256045 is 5406525531.

1355256045 is a `hidden beast` number, since 1 + 3 + 5 + 52 + 560 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (1355256037) and next prime (1355256053).

It is not a de Polignac number, because 1355256045 - 23 = 1355256037 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300205 + ... + 304685.

It is an arithmetic number, because the mean of its divisors is an integer number (29366064).

Almost surely, 21355256045 is an apocalyptic number.

1355256045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1355256045 is an abundant number, since it is smaller than the sum of its proper divisors (1463886099).

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

1355256045 is a wasteful number, since it uses less digits than its factorization.

1355256045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 1355256045 is about 36813.8023708500. The cubic root of 1355256045 is about 1106.6419206959.

The spelling of 1355256045 in words is "one billion, three hundred fifty-five million, two hundred fifty-six thousand, forty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 47 55 65 99 117 141 143 165 195 235 423 429 495 517 585 611 705 715 1287 1551 1833 2115 2145 2585 3055 4481 4653 5499 6435 6721 7755 9165 13443 20163 22405 23265 27495 33605 40329 49291 58253 60489 67215 100815 147873 174759 201645 210607 246455 291265 302445 443619 524277 631821 640783 739365 873795 1053035 1895463 1922349 2218095 2316677 2621385 2737891 3159105 3203915 5767047 6950031 8213673 9477315 9611745 11583385 13689455 20850093 24641019 28835235 30116801 34750155 41068365 90350403 104250465 123205095 150584005 271051209 451752015 1355256045