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1130719968 = 25327560873
BaseRepresentation
bin100001101100101…
…0110101011100000
32220210122112012100
41003121112223200
54303431014333
6304111130400
740006650450
oct10331265340
92823575170
101130719968
11530297714
12276813a00
13150348591
14aa257d60
1569403213
hex43656ae0

1130719968 has 72 divisors (see below), whose sum is σ = 3674846448. Its totient is φ = 323062272.

The previous prime is 1130719957. The next prime is 1130719981. The reversal of 1130719968 is 8699170311.

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

It is a congruent number.

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, 278421 + ... + 282452.

It is an arithmetic number, because the mean of its divisors is an integer number (51039534).

Almost surely, 21130719968 is an apocalyptic number.

1130719968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1130719968 is an abundant number, since it is smaller than the sum of its proper divisors (2544126480).

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

1130719968 is a wasteful number, since it uses less digits than its factorization.

1130719968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560896 (or 560885 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 1130719968 is about 33626.1798008635. The cubic root of 1130719968 is about 1041.8016011343.

The spelling of 1130719968 in words is "one billion, one hundred thirty million, seven hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 560873 1121746 1682619 2243492 3365238 3926111 4486984 5047857 6730476 7852222 8973968 10095714 11778333 13460952 15704444 17947936 20191428 23556666 26921904 31408888 35334999 40382856 47113332 53843808 62817776 70669998 80765712 94226664 125635552 141339996 161531424 188453328 282679992 376906656 565359984 1130719968