Search a number
-
+
1311985620 = 2233511220873
BaseRepresentation
bin100111000110011…
…0100111111010100
310101102201202221000
41032030310333110
510141332014440
6334104223300
744340456651
oct11614647724
93342652830
101311985620
11613644240
1230746ab30
1317ba7356a
14c6360c28
157a2ab730
hex4e334fd4

1311985620 has 96 divisors (see below), whose sum is σ = 4452819840. Its totient is φ = 318055680.

The previous prime is 1311985541. The next prime is 1311985667. The reversal of 1311985620 is 265891131.

1311985620 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 98 + 562 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104497 + ... + 116376.

It is an arithmetic number, because the mean of its divisors is an integer number (46383540).

Almost surely, 21311985620 is an apocalyptic number.

1311985620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311985620 is an abundant number, since it is smaller than the sum of its proper divisors (3140834220).

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

1311985620 is a wasteful number, since it uses less digits than its factorization.

1311985620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220902 (or 220894 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1311985620 is about 36221.3420513376. The cubic root of 1311985620 is about 1094.7367353587.

The spelling of 1311985620 in words is "one billion, three hundred eleven million, nine hundred eighty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 220873 441746 662619 883492 1104365 1325238 1987857 2208730 2429603 2650476 3313095 3975714 4417460 4859206 5963571 6626190 7288809 7951428 9718412 9939285 11927142 12148015 13252380 14577618 19878570 21866427 23854284 24296030 29155236 29817855 36444045 39757140 43732854 48592060 59635710 65599281 72888090 87465708 109332135 119271420 131198562 145776180 218664270 262397124 327996405 437328540 655992810 1311985620