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1130320440 = 233357011493
BaseRepresentation
bin100001101011111…
…0101001000111000
32220202220020011000
41003113311020320
54303330223230
6304054405000
740003364604
oct10327651070
92822806130
101130320440
11530044527
12276660760
13150238782
14aa192504
1569374b60
hex435f5238

1130320440 has 128 divisors (see below), whose sum is σ = 3775636800. Its totient is φ = 300787200.

The previous prime is 1130320427. The next prime is 1130320483. The reversal of 1130320440 is 440230311.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 756334 + ... + 757826.

Almost surely, 21130320440 is an apocalyptic number.

1130320440 is a gapful number since it is divisible by the number (10) 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 1130320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887818400).

1130320440 is an abundant number, since it is smaller than the sum of its proper divisors (2645316360).

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

1130320440 is a wasteful number, since it uses less digits than its factorization.

1130320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1130320440 is about 33620.2385476367. The cubic root of 1130320440 is about 1041.6788834692.

Adding to 1130320440 its reverse (440230311), we get a palindrome (1570550751).

The spelling of 1130320440 in words is "one billion, one hundred thirty million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 701 1080 1402 1493 2103 2804 2986 3505 4206 4479 5608 5972 6309 7010 7465 8412 8958 10515 11944 12618 13437 14020 14930 16824 17916 18927 21030 22395 25236 26874 28040 29860 31545 35832 37854 40311 42060 44790 50472 53748 59720 63090 67185 75708 80622 84120 89580 94635 107496 126180 134370 151416 161244 179160 189270 201555 252360 268740 322488 378540 403110 537480 757080 806220 1046593 1612440 2093186 3139779 4186372 5232965 6279558 8372744 9419337 10465930 12559116 15698895 18838674 20931860 25118232 28258011 31397790 37677348 41863720 47096685 56516022 62795580 75354696 94193370 113032044 125591160 141290055 188386740 226064088 282580110 376773480 565160220 1130320440