Search a number
-
+
1137284764 = 2271129157811
BaseRepresentation
bin100001111001001…
…1001011010011100
32221021000001101221
41003302121122130
54312121103024
6304503543124
740116522010
oct10362313234
92837001357
101137284764
11533a70970
12278a5aaa4
13151806685
14ab086540
1569c9d3e4
hex43c9969c

1137284764 has 96 divisors (see below), whose sum is σ = 2586447360. Its totient is φ = 424569600.

The previous prime is 1137284719. The next prime is 1137284777. The reversal of 1137284764 is 4674827311.

It is a self number, because there is not a number n which added to its sum of digits gives 1137284764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1401919 + ... + 1402729.

It is an arithmetic number, because the mean of its divisors is an integer number (26942160).

Almost surely, 21137284764 is an apocalyptic number.

1137284764 is a gapful number since it is divisible by the number (14) 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 1137284764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293223680).

1137284764 is an abundant number, since it is smaller than the sum of its proper divisors (1449162596).

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

1137284764 is a wasteful number, since it uses less digits than its factorization.

1137284764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1017 counting only the distinct ones).

The product of its digits is 225792, while the sum is 43.

The square root of 1137284764 is about 33723.6528863645. The cubic root of 1137284764 is about 1043.8138947391.

The spelling of 1137284764 in words is "one billion, one hundred thirty-seven million, two hundred eighty-four thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 157 203 308 314 319 406 628 638 811 812 1099 1276 1622 1727 2198 2233 3244 3454 4396 4466 4553 5677 6908 8921 8932 9106 11354 12089 17842 18212 22708 23519 24178 31871 35684 47038 48356 50083 62447 63742 94076 100166 124894 127327 127484 164633 200332 249788 254654 258709 329266 350581 509308 517418 658532 701162 891289 1034836 1400597 1402324 1782578 1810963 2801194 3565156 3621926 3692483 5602388 7243852 7384966 9804179 14769932 19608358 25847381 39216716 40617313 51694762 81234626 103389524 162469252 284321191 568642382 1137284764