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620416 = 2737131
BaseRepresentation
bin10010111011110000000
31011112001101
42113132000
5124323131
621144144
75162536
oct2273600
91145041
10620416
11394145
1225b054
13189514
14122156
15c3c61
hex97780

620416 has 32 divisors (see below), whose sum is σ = 1279080. Its totient is φ = 299520.

The previous prime is 620413. The next prime is 620429. The reversal of 620416 is 614026.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 620393 and 620402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (620413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4671 + ... + 4801.

2620416 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 620416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639540).

620416 is an abundant number, since it is smaller than the sum of its proper divisors (658664).

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

620416 is a wasteful number, since it uses less digits than its factorization.

620416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 620416 is about 787.6649033694. The cubic root of 620416 is about 85.2892567513.

The spelling of 620416 in words is "six hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 128 131 148 262 296 524 592 1048 1184 2096 2368 4192 4736 4847 8384 9694 16768 19388 38776 77552 155104 310208 620416