Search a number
-
+
1230295968 = 253211388351
BaseRepresentation
bin100100101010100…
…1101001110100000
310011202000111210100
41021111031032200
510004423432333
6322025302400
742326225466
oct11125151640
93152014710
101230295968
11581519630
122a4034a00
13167b710a5
14b9578836
1573022213
hex4954d3a0

1230295968 has 72 divisors (see below), whose sum is σ = 3816723456. Its totient is φ = 372816000.

The previous prime is 1230295903. The next prime is 1230295973. The reversal of 1230295968 is 8695920321.

1230295968 is a `hidden beast` number, since 1 + 2 + 30 + 29 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191008 + ... + 197343.

It is an arithmetic number, because the mean of its divisors is an integer number (53010048).

Almost surely, 21230295968 is an apocalyptic number.

1230295968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1230295968 is an abundant number, since it is smaller than the sum of its proper divisors (2586427488).

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

1230295968 is a wasteful number, since it uses less digits than its factorization.

1230295968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388378 (or 388367 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1230295968 is about 35075.5750915078. The cubic root of 1230295968 is about 1071.5272010995.

The spelling of 1230295968 in words is "one billion, two hundred thirty million, two hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 388351 776702 1165053 1553404 2330106 3106808 3495159 4271861 4660212 6213616 6990318 8543722 9320424 12427232 12815583 13980636 17087444 18640848 25631166 27961272 34174888 37281696 38446749 51262332 55922544 68349776 76893498 102524664 111845088 136699552 153786996 205049328 307573992 410098656 615147984 1230295968