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523940 = 225172367
BaseRepresentation
bin1111111111010100100
3222121201012
41333322210
5113231230
615121352
74311344
oct1777244
9877635
10523940
1132870a
12213258
13154631
14d8d24
15a5395
hex7fea4

523940 has 48 divisors (see below), whose sum is σ = 1233792. Its totient is φ = 185856.

The previous prime is 523937. The next prime is 523949. The reversal of 523940 is 49325.

523940 = T32 + T33 + ... + T146.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (523949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7787 + ... + 7853.

It is an arithmetic number, because the mean of its divisors is an integer number (25704).

2523940 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 523940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896).

523940 is an abundant number, since it is smaller than the sum of its proper divisors (709852).

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

523940 is a wasteful number, since it uses less digits than its factorization.

523940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 523940 is about 723.8369982254. The cubic root of 523940 is about 80.6171025656.

The spelling of 523940 in words is "five hundred twenty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 23 34 46 67 68 85 92 115 134 170 230 268 335 340 391 460 670 782 1139 1340 1541 1564 1955 2278 3082 3910 4556 5695 6164 7705 7820 11390 15410 22780 26197 30820 52394 104788 130985 261970 523940