Search a number
-
+
620291920 = 24517617477
BaseRepresentation
bin100100111110001…
…110011101010000
31121020012002112211
4210332032131100
52232243320140
6141315001504
721241252153
oct4476163520
91536162484
10620291920
11299158556
12153899294
139b681b51
145c549c9a
15396ca2ea
hex24f8e750

620291920 has 80 divisors (see below), whose sum is σ = 1552253328. Its totient is φ = 229662720.

The previous prime is 620291891. The next prime is 620291921. The reversal of 620291920 is 29192026.

620291920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2471184 + 617820736 = 1572^2 + 24856^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (620291921) 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, 79222 + ... + 86698.

Almost surely, 2620291920 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 620291920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776126664).

620291920 is an abundant number, since it is smaller than the sum of its proper divisors (931961408).

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

620291920 is a wasteful number, since it uses less digits than its factorization.

620291920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7568 (or 7562 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 620291920 is about 24905.6604008005. The cubic root of 620291920 is about 852.8357056836.

The spelling of 620291920 in words is "six hundred twenty million, two hundred ninety-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 61 68 80 85 122 136 170 244 272 305 340 488 610 680 976 1037 1220 1360 2074 2440 4148 4880 5185 7477 8296 10370 14954 16592 20740 29908 37385 41480 59816 74770 82960 119632 127109 149540 254218 299080 456097 508436 598160 635545 912194 1016872 1271090 1824388 2033744 2280485 2542180 3648776 4560970 5084360 7297552 7753649 9121940 10168720 15507298 18243880 31014596 36487760 38768245 62029192 77536490 124058384 155072980 310145960 620291920