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1355680755 = 32511131911103
BaseRepresentation
bin101000011001110…
…0000101111110011
310111110221201101100
41100303200233303
510234023241010
6342304535443
745411045012
oct12063405763
93443851340
101355680755
11636279020
1231a021583
13187b31c80
14cc096a79
157e03d2c0
hex50ce0bf3

1355680755 has 96 divisors (see below), whose sum is σ = 2777628672. Its totient is φ = 603014400.

The previous prime is 1355680721. The next prime is 1355680757. The reversal of 1355680755 is 5570865531.

1355680755 is a `hidden beast` number, since 1 + 35 + 568 + 0 + 7 + 55 = 666.

It is not a de Polignac number, because 1355680755 - 29 = 1355680243 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1355680755.

It is not an unprimeable number, because it can be changed into a prime (1355680757) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1228534 + ... + 1229636.

It is an arithmetic number, because the mean of its divisors is an integer number (28933632).

Almost surely, 21355680755 is an apocalyptic number.

1355680755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1355680755 is an abundant number, since it is smaller than the sum of its proper divisors (1421947917).

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

1355680755 is a wasteful number, since it uses less digits than its factorization.

1355680755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The square root of 1355680755 is about 36819.5702717998. The cubic root of 1355680755 is about 1106.7575083996.

The spelling of 1355680755 in words is "one billion, three hundred fifty-five million, six hundred eighty thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 191 195 429 495 573 585 715 955 1103 1287 1719 2101 2145 2483 2865 3309 5515 6303 6435 7449 8595 9927 10505 12133 12415 14339 16545 18909 22347 27313 31515 36399 37245 43017 49635 60665 71695 81939 94545 109197 111735 129051 136565 157729 181995 210673 215085 245817 409695 473187 545985 632019 645255 788645 1053365 1229085 1419561 1896057 2317403 2365935 2738749 3160095 6952209 7097805 8216247 9480285 11587015 13693745 20856627 24648741 30126239 34761045 41081235 90378717 104283135 123243705 150631195 271136151 451893585 1355680755