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1130840424 = 233272320533
BaseRepresentation
bin100001101100111…
…0100000101101000
32220210212122102200
41003121310011220
54303443343144
6304113500200
740010661600
oct10331640550
92823778380
101130840424
1153036a16a
12276871660
1315038b35c
14aa289c00
1569428c69
hex43674168

1130840424 has 72 divisors (see below), whose sum is σ = 3562735410. Its totient is φ = 323096256.

The previous prime is 1130840411. The next prime is 1130840429. The reversal of 1130840424 is 4240480311.

It can be written as a sum of positive squares in only one way, i.e., 1070467524 + 60372900 = 32718^2 + 7770^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1130840429) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 156739 + ... + 163794.

Almost surely, 21130840424 is an apocalyptic number.

1130840424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1130840424 is an abundant number, since it is smaller than the sum of its proper divisors (2431894986).

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

1130840424 is a wasteful number, since it uses less digits than its factorization.

1130840424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320559 (or 320545 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1130840424 is about 33627.9708576060. The cubic root of 1130840424 is about 1041.8385943189.

The spelling of 1130840424 in words is "one billion, one hundred thirty million, eight hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 320533 641066 961599 1282132 1923198 2243731 2564264 2884797 3846396 4487462 5769594 6731193 7692792 8974924 11539188 13462386 15706117 17949848 20193579 23078376 26924772 31412234 40387158 47118351 53849544 62824468 80774316 94236702 125648936 141355053 161548632 188473404 282710106 376946808 565420212 1130840424