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1332107532 = 2236729323
BaseRepresentation
bin100111101100110…
…0101100100001100
310102211121002000000
41033121211210030
510212004420112
6340103404300
745003504300
oct11731454414
93384532000
101332107532
11623a38118
12312153690
13182c9a312
14c8cbbd00
157be337dc
hex4f66590c

1332107532 has 126 divisors (see below), whose sum is σ = 4066261668. Its totient is φ = 380561328.

The previous prime is 1332107519. The next prime is 1332107533. The reversal of 1332107532 is 2357012331.

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×13321075322 = 3549020953622262048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1332107496 and 1332107505.

It is not an unprimeable number, because it can be changed into a prime (1332107533) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 138223 + ... + 147545.

It is an arithmetic number, because the mean of its divisors is an integer number (32271918).

Almost surely, 21332107532 is an apocalyptic number.

1332107532 is a gapful number since it is divisible by the number (12) 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 1332107532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033130834).

1332107532 is an abundant number, since it is smaller than the sum of its proper divisors (2734154136).

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

1332107532 is an equidigital number, since it uses as much as digits as its factorization.

1332107532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9359 (or 9335 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1332107532 is about 36498.0483313834. The cubic root of 1332107532 is about 1100.3050206467.

Adding to 1332107532 its reverse (2357012331), we get a palindrome (3689119863).

The spelling of 1332107532 in words is "one billion, three hundred thirty-two million, one hundred seven thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 729 756 882 972 1134 1323 1458 1701 1764 2268 2646 2916 3402 3969 5103 5292 6804 7938 9323 10206 11907 15876 18646 20412 23814 27969 35721 37292 47628 55938 65261 71442 83907 111876 130522 142884 167814 195783 251721 261044 335628 391566 456827 503442 587349 755163 783132 913654 1006884 1174698 1370481 1510326 1762047 1827308 2265489 2349396 2740962 3020652 3524094 4111443 4530978 5286141 5481924 6796467 7048188 8222886 9061956 10572282 12334329 13592934 15858423 16445772 21144564 24668658 27185868 31716846 37002987 47575269 49337316 63433692 74005974 95150538 111008961 148011948 190301076 222017922 333026883 444035844 666053766 1332107532