Search a number
-
+
1264373136 = 243213675413
BaseRepresentation
bin100101101011100…
…1100110110010000
310021010010210212200
41023113030312100
510042134420021
6325243523200
743221665025
oct11327146620
93233123780
101264373136
11599784284
122b3529500
13171c42ab0
14bdcc954c
1576004126
hex4b5ccd90

1264373136 has 60 divisors (see below), whose sum is σ = 3810685788. Its totient is φ = 389037312.

The previous prime is 1264373087. The next prime is 1264373153. The reversal of 1264373136 is 6313734621.

1264373136 is a `hidden beast` number, since 1 + 2 + 643 + 7 + 3 + 1 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 147476736 + 1116896400 = 12144^2 + 33420^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1264373136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 335835 + ... + 339578.

Almost surely, 21264373136 is an apocalyptic number.

1264373136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1264373136 is an abundant number, since it is smaller than the sum of its proper divisors (2546312652).

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

1264373136 is a wasteful number, since it uses less digits than its factorization.

1264373136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675440 (or 675431 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 1264373136 is about 35558.0249170282. The cubic root of 1264373136 is about 1081.3304180400.

The spelling of 1264373136 in words is "one billion, two hundred sixty-four million, three hundred seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 675413 1350826 2026239 2701652 4052478 5403304 6078717 8104956 8780369 10806608 12157434 16209912 17560738 24314868 26341107 32419824 35121476 48629736 52682214 70242952 79023321 97259472 105364428 140485904 158046642 210728856 316093284 421457712 632186568 1264373136