Search a number
-
+
616420 = 225721737
BaseRepresentation
bin10010110011111100100
31011022120101
42112133210
5124211140
621113444
75145100
oct2263744
91138511
10616420
11391142
12258884
1318775c
14120900
15c299a
hex967e4

616420 has 72 divisors (see below), whose sum is σ = 1637496. Its totient is φ = 193536.

The previous prime is 616411. The next prime is 616433. The reversal of 616420 is 24616.

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 362404 = 504^2 + 602^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16642 + ... + 16678.

It is an arithmetic number, because the mean of its divisors is an integer number (22743).

2616420 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 616420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818748).

616420 is an abundant number, since it is smaller than the sum of its proper divisors (1021076).

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

616420 is a wasteful number, since it uses less digits than its factorization.

616420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 68 counting only the distinct ones).

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

The square root of 616420 is about 785.1241939974. The cubic root of 616420 is about 85.1057507311.

The spelling of 616420 in words is "six hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 37 49 68 70 74 85 98 119 140 148 170 185 196 238 245 259 340 370 476 490 518 595 629 740 833 980 1036 1190 1258 1295 1666 1813 2380 2516 2590 3145 3332 3626 4165 4403 5180 6290 7252 8330 8806 9065 12580 16660 17612 18130 22015 30821 36260 44030 61642 88060 123284 154105 308210 616420