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1144531530 = 232596713151
BaseRepresentation
bin100010000111000…
…0010101001001010
32221202122020002200
41010032002221022
54321000002110
6305323141030
740235233422
oct10416025112
92852566080
101144531530
1153807052a
1227b374776
13153172cbc
14ac011482
156a7306c0
hex44382a4a

1144531530 has 48 divisors (see below), whose sum is σ = 2979085824. Its totient is φ = 304869600.

The previous prime is 1144531483. The next prime is 1144531537. The reversal of 1144531530 is 351354411.

It is a happy number.

It is a super-3 number, since 3×11445315303 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1144531494 and 1144531503.

It is not an unprimeable number, because it can be changed into a prime (1144531537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80455 + ... + 93605.

It is an arithmetic number, because the mean of its divisors is an integer number (62064288).

Almost surely, 21144531530 is an apocalyptic number.

1144531530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1144531530 is an abundant number, since it is smaller than the sum of its proper divisors (1834554294).

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

1144531530 is a wasteful number, since it uses less digits than its factorization.

1144531530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14131 (or 14128 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1144531530 is about 33830.9256450367. The cubic root of 1144531530 is about 1046.0262592011.

Adding to 1144531530 its reverse (351354411), we get a palindrome (1495885941).

The spelling of 1144531530 in words is "one billion, one hundred forty-four million, five hundred thirty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 967 1934 2901 4835 5802 8703 9670 13151 14505 17406 26302 29010 39453 43515 65755 78906 87030 118359 131510 197265 236718 394530 591795 1183590 12717017 25434034 38151051 63585085 76302102 114453153 127170170 190755255 228906306 381510510 572265765 1144531530