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523980 = 223254171
BaseRepresentation
bin1111111111011001100
3222121202200
41333323030
5113231410
615121500
74311432
oct1777314
9877680
10523980
11328746
12213290
13154662
14d8d52
15a53c0
hex7fecc

523980 has 72 divisors (see below), whose sum is σ = 1651104. Its totient is φ = 134400.

The previous prime is 523969. The next prime is 523987. The reversal of 523980 is 89325.

It is not an unprimeable number, because it can be changed into a prime (523987) by changing a digit.

523980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7345 + ... + 7415.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2523980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552).

523980 is an abundant number, since it is smaller than the sum of its proper divisors (1127124).

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

523980 is a wasteful number, since it uses less digits than its factorization.

523980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 523980 is about 723.8646282282. The cubic root of 523980 is about 80.6191540741.

The spelling of 523980 in words is "five hundred twenty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 71 82 90 123 142 164 180 205 213 246 284 355 369 410 426 492 615 639 710 738 820 852 1065 1230 1278 1420 1476 1845 2130 2460 2556 2911 3195 3690 4260 5822 6390 7380 8733 11644 12780 14555 17466 26199 29110 34932 43665 52398 58220 87330 104796 130995 174660 261990 523980