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1355412660 = 2235710193167
BaseRepresentation
bin101000011001001…
…1111010010110100
310111110110002121220
41100302133102310
510233441201120
6342255110340
745405550260
oct12062372264
93443402556
101355412660
11636105658
12319b123b0
13187a69c34
14cc0270a0
157ded8b40
hex50c9f4b4

1355412660 has 96 divisors (see below), whose sum is σ = 4342947840. Its totient is φ = 309406848.

The previous prime is 1355412647. The next prime is 1355412661. The reversal of 1355412660 is 662145531.

1355412660 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355412661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426397 + ... + 429563.

It is an arithmetic number, because the mean of its divisors is an integer number (45239040).

Almost surely, 21355412660 is an apocalyptic number.

1355412660 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 1355412660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171473920).

1355412660 is an abundant number, since it is smaller than the sum of its proper divisors (2987535180).

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

1355412660 is a wasteful number, since it uses less digits than its factorization.

1355412660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 1355412660 is about 36815.9294327877. The cubic root of 1355412660 is about 1106.6845473394.

The spelling of 1355412660 in words is "one billion, three hundred fifty-five million, four hundred twelve thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1019 2038 3057 3167 4076 5095 6114 6334 7133 9501 10190 12228 12668 14266 15285 15835 19002 20380 21399 22169 28532 30570 31670 35665 38004 42798 44338 47505 61140 63340 66507 71330 85596 88676 95010 106995 110845 133014 142660 190020 213990 221690 266028 332535 427980 443380 665070 1330140 3227173 6454346 9681519 12908692 16135865 19363038 22590211 32271730 38726076 45180422 48407595 64543460 67770633 90360844 96815190 112951055 135541266 193630380 225902110 271082532 338853165 451804220 677706330 1355412660