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537320 = 235719101
BaseRepresentation
bin10000011001011101000
31000022001202
42003023220
5114143240
615303332
74365350
oct2031350
91008052
10537320
11337773
1221ab48
1315a754
14ddb60
15a9315
hex832e8

537320 has 64 divisors (see below), whose sum is σ = 1468800. Its totient is φ = 172800.

The previous prime is 537307. The next prime is 537331. The reversal of 537320 is 23735.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 537292 and 537301.

It is an unprimeable number.

537320 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 15 ways as a sum of consecutive naturals, for example, 5270 + ... + 5370.

It is an arithmetic number, because the mean of its divisors is an integer number (22950).

2537320 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 537320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734400).

537320 is an abundant number, since it is smaller than the sum of its proper divisors (931480).

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

537320 is a wasteful number, since it uses less digits than its factorization.

537320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 537320 is about 733.0211456704. The cubic root of 537320 is about 81.2975894776.

The spelling of 537320 in words is "five hundred thirty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 101 133 140 152 190 202 266 280 380 404 505 532 665 707 760 808 1010 1064 1330 1414 1919 2020 2660 2828 3535 3838 4040 5320 5656 7070 7676 9595 13433 14140 15352 19190 26866 28280 38380 53732 67165 76760 107464 134330 268660 537320