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130032450 = 232521012861
BaseRepresentation
bin1111100000000…
…10001101000010
3100001200022222200
413300002031002
5231242014300
620523014030
73136154232
oct760021502
9301608880
10130032450
1167444339
123766a316
1320c2a4a2
14133abcc2
15b638200
hex7c02342

130032450 has 72 divisors (see below), whose sum is σ = 352936116. Its totient is φ = 34320000.

The previous prime is 130032431. The next prime is 130032457. The reversal of 130032450 is 54230031.

It can be written as a sum of positive squares in 6 ways, for example, as 88003161 + 42029289 = 9381^2 + 6483^2 .

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

It is not an unprimeable number, because it can be changed into a prime (130032457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44020 + ... + 46880.

Almost surely, 2130032450 is an apocalyptic number.

130032450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130032450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176468058).

130032450 is an abundant number, since it is smaller than the sum of its proper divisors (222903666).

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

130032450 is a wasteful number, since it uses less digits than its factorization.

130032450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 130032450 is about 11403.1771888365. The cubic root of 130032450 is about 506.6218484325.

Adding to 130032450 its reverse (54230031), we get a palindrome (184262481).

The spelling of 130032450 in words is "one hundred thirty million, thirty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 101 150 202 225 303 450 505 606 909 1010 1515 1818 2525 2861 3030 4545 5050 5722 7575 8583 9090 14305 15150 17166 22725 25749 28610 42915 45450 51498 71525 85830 128745 143050 214575 257490 288961 429150 577922 643725 866883 1287450 1444805 1733766 2600649 2889610 4334415 5201298 7224025 8668830 13003245 14448050 21672075 26006490 43344150 65016225 130032450