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1132044130 = 257192321609
BaseRepresentation
bin100001101111001…
…1001111101100010
32220220010210121101
41003132121331202
54304300403010
6304155345014
740024134130
oct10336317542
92826123541
101132044130
11531011568
1227715216a
131506c01c9
14aa4c0750
15695b573a
hex43799f62

1132044130 has 96 divisors (see below), whose sum is σ = 2564150400. Its totient is φ = 351495936.

The previous prime is 1132044103. The next prime is 1132044139. The reversal of 1132044130 is 314402311.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 1132044098 and 1132044107.

It is not an unprimeable number, because it can be changed into a prime (1132044139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 702766 + ... + 704374.

It is an arithmetic number, because the mean of its divisors is an integer number (26709900).

Almost surely, 21132044130 is an apocalyptic number.

1132044130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1132044130 is an abundant number, since it is smaller than the sum of its proper divisors (1432106270).

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

1132044130 is a wasteful number, since it uses less digits than its factorization.

1132044130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1132044130 is about 33645.8634901826. The cubic root of 1132044130 is about 1042.2081196872.

Adding to 1132044130 its reverse (314402311), we get a palindrome (1446446441).

The spelling of 1132044130 in words is "one billion, one hundred thirty-two million, forty-four thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 19 23 35 38 46 70 95 115 133 161 190 230 266 322 437 529 665 805 874 1058 1330 1609 1610 2185 2645 3059 3218 3703 4370 5290 6118 7406 8045 10051 11263 15295 16090 18515 20102 22526 30571 30590 37007 37030 50255 56315 61142 70357 74014 100510 112630 140714 152855 185035 213997 259049 305710 351785 370070 427994 518098 703133 703570 851161 1069985 1295245 1406266 1702322 2139970 2590490 3515665 4255805 4921931 5958127 7031330 8511610 9843862 11916254 16172059 24609655 29790635 32344118 49219310 59581270 80860295 113204413 161720590 226408826 566022065 1132044130