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1130432320 = 2654186161
BaseRepresentation
bin100001101100001…
…0000011101000000
32220210002220121201
41003120100131000
54303342313240
6304101030544
740004342023
oct10330203500
92823086551
101130432320
11530110596
122766b5454
13150277684
14aa1c11ba
1569397d9a
hex43610740

1130432320 has 56 divisors (see below), whose sum is σ = 2757528648. Its totient is φ = 441139200.

The previous prime is 1130432311. The next prime is 1130432321. The reversal of 1130432320 is 232340311.

It can be written as a sum of positive squares in 4 ways, for example, as 36675136 + 1093757184 = 6056^2 + 33072^2 .

It is a super-3 number, since 3×11304323203 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130432321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29961 + ... + 56200.

It is an arithmetic number, because the mean of its divisors is an integer number (49241583).

Almost surely, 21130432320 is an apocalyptic number.

1130432320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130432320 is an abundant number, since it is smaller than the sum of its proper divisors (1627096328).

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

1130432320 is an equidigital number, since it uses as much as digits as its factorization.

1130432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86219 (or 86209 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1130432320 is about 33621.9023852012. The cubic root of 1130432320 is about 1041.7132510651.

Adding to 1130432320 its reverse (232340311), we get a palindrome (1362772631).

The spelling of 1130432320 in words is "one billion, one hundred thirty million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6560 13120 86161 172322 344644 430805 689288 861610 1378576 1723220 2757152 3446440 3532601 5514304 6892880 7065202 13785760 14130404 17663005 27571520 28260808 35326010 56521616 70652020 113043232 141304040 226086464 282608080 565216160 1130432320