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133440524 = 22724371223
BaseRepresentation
bin1111111010000…
…10010000001100
3100022002110222122
413331002100030
5233130044044
621124032112
73210140300
oct775022014
9308073878
10133440524
1169361928
1238832638
13218517b9
1413a17d00
15baacdee
hex7f4240c

133440524 has 72 divisors (see below), whose sum is σ = 283143168. Its totient is φ = 54825120.

The previous prime is 133440521. The next prime is 133440533. The reversal of 133440524 is 425044331.

It is a junction number, because it is equal to n+sod(n) for n = 133440493 and 133440502.

It is not an unprimeable number, because it can be changed into a prime (133440521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598277 + ... + 598499.

It is an arithmetic number, because the mean of its divisors is an integer number (3932544).

Almost surely, 2133440524 is an apocalyptic number.

133440524 is a gapful number since it is divisible by the number (14) 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 133440524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141571584).

133440524 is an abundant number, since it is smaller than the sum of its proper divisors (149702644).

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

133440524 is a wasteful number, since it uses less digits than its factorization.

133440524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 133440524 is about 11551.6459433277. The cubic root of 133440524 is about 511.0098202904.

Adding to 133440524 its reverse (425044331), we get a palindrome (558484855).

The spelling of 133440524 in words is "one hundred thirty-three million, four hundred forty thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 28 43 49 71 86 98 142 172 196 223 284 301 446 497 602 892 994 1204 1561 1988 2107 3053 3122 3479 4214 6106 6244 6958 8428 9589 10927 12212 13916 15833 19178 21371 21854 31666 38356 42742 43708 63332 67123 85484 110831 134246 149597 221662 268492 299194 443324 469861 598388 680819 775817 939722 1361638 1551634 1879444 2723276 3103268 4765733 9531466 19062932 33360131 66720262 133440524