Search a number
-
+
2130440256 = 26327528383
BaseRepresentation
bin111111011111011…
…1111000001000000
312111110210120121200
41332332333001000
513330343042011
6551222421200
7103536305040
oct17676770100
95443716550
102130440256
119a363a32a
124b5591800
1327c4b8349
14162d31720
15c707b856
hex7efbf040

2130440256 has 84 divisors (see below), whose sum is σ = 6978895872. Its totient is φ = 608696064.

The previous prime is 2130440233. The next prime is 2130440267. The reversal of 2130440256 is 6520440312.

2130440256 is a `hidden beast` number, since 213 + 0 + 440 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

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, 260160 + ... + 268223.

Almost surely, 22130440256 is an apocalyptic number.

It is an amenable number.

2130440256 is an abundant number, since it is smaller than the sum of its proper divisors (4848455616).

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

2130440256 is a wasteful number, since it uses less digits than its factorization.

2130440256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528408 (or 528395 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2130440256 is about 46156.6924291592. The cubic root of 2130440256 is about 1286.7369921680.

Adding to 2130440256 its reverse (6520440312), we get a palindrome (8650880568).

The spelling of 2130440256 in words is "two billion, one hundred thirty million, four hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 528383 1056766 1585149 2113532 3170298 3698681 4227064 4755447 6340596 7397362 8454128 9510894 11096043 12681192 14794724 16908256 19021788 22192086 25362384 29589448 33288129 33816512 38043576 44384172 50724768 59178896 66576258 76087152 88768344 101449536 118357792 133152516 152174304 177536688 236715584 266305032 304348608 355073376 532610064 710146752 1065220128 2130440256