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620312 = 237111953
BaseRepresentation
bin10010111011100011000
31011111220112
42113130120
5124322222
621143452
75162330
oct2273430
91144815
10620312
11394060
1225ab88
13189464
141220c0
15c3be2
hex97718

620312 has 64 divisors (see below), whose sum is σ = 1555200. Its totient is φ = 224640.

The previous prime is 620311. The next prime is 620317. The reversal of 620312 is 213026.

620312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 620312.

It is not an unprimeable number, because it can be changed into a prime (620311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11678 + ... + 11730.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

2620312 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 620312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777600).

620312 is an abundant number, since it is smaller than the sum of its proper divisors (934888).

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

620312 is a wasteful number, since it uses less digits than its factorization.

620312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 620312 is about 787.5988826808. The cubic root of 620312 is about 85.2844908209.

Adding to 620312 its reverse (213026), we get a palindrome (833338).

The spelling of 620312 in words is "six hundred twenty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 53 56 76 77 88 106 133 152 154 209 212 266 308 371 418 424 532 583 616 742 836 1007 1064 1166 1463 1484 1672 2014 2332 2926 2968 4028 4081 4664 5852 7049 8056 8162 11077 11704 14098 16324 22154 28196 32648 44308 56392 77539 88616 155078 310156 620312