Search a number
-
+
620060064 = 253132691847
BaseRepresentation
bin100100111101010…
…101110110100000
31121012202022111120
4210331111312200
52232213410224
6141310012240
721236265201
oct4475256640
91535668446
10620060064
1129900a338
121537a7080
139b600460
145c4c95a8
1539681779
hex24f55da0

620060064 has 96 divisors (see below), whose sum is σ = 1760330880. Its totient is φ = 189975552.

The previous prime is 620060033. The next prime is 620060069. The reversal of 620060064 is 460060026.

620060064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (620060069) 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, 334789 + ... + 336635.

It is an arithmetic number, because the mean of its divisors is an integer number (18336780).

Almost surely, 2620060064 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 620060064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880165440).

620060064 is an abundant number, since it is smaller than the sum of its proper divisors (1140270816).

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

620060064 is a wasteful number, since it uses less digits than its factorization.

620060064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 620060064 is about 24901.0052809119. The cubic root of 620060064 is about 852.7294332921.

The spelling of 620060064 in words is "six hundred twenty million, sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 269 312 416 538 624 807 1076 1248 1614 1847 2152 3228 3497 3694 4304 5541 6456 6994 7388 8608 10491 11082 12912 13988 14776 20982 22164 24011 25824 27976 29552 41964 44328 48022 55952 59104 72033 83928 88656 96044 111904 144066 167856 177312 192088 288132 335712 384176 496843 576264 768352 993686 1152528 1490529 1987372 2305056 2981058 3974744 5962116 6458959 7949488 11924232 12917918 15898976 19376877 23848464 25835836 38753754 47696928 51671672 77507508 103343344 155015016 206686688 310030032 620060064