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620368 = 24729191
BaseRepresentation
bin10010111011101010000
31011111222121
42113131100
5124322433
621144024
75162440
oct2273520
91144877
10620368
11394101
1225b014
131894a8
14122120
15c3c2d
hex97750

620368 has 40 divisors (see below), whose sum is σ = 1428480. Its totient is φ = 255360.

The previous prime is 620363. The next prime is 620377. The reversal of 620368 is 863026.

620368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (620363) by changing a digit.

620368 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 7 ways as a sum of consecutive naturals, for example, 3153 + ... + 3343.

It is an arithmetic number, because the mean of its divisors is an integer number (35712).

2620368 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 620368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714240).

620368 is an abundant number, since it is smaller than the sum of its proper divisors (808112).

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

620368 is a wasteful number, since it uses less digits than its factorization.

620368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 620368 is about 787.6344329700. The cubic root of 620368 is about 85.2870571573.

The spelling of 620368 in words is "six hundred twenty thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 191 203 232 382 406 464 764 812 1337 1528 1624 2674 3056 3248 5348 5539 10696 11078 21392 22156 38773 44312 77546 88624 155092 310184 620368