Search a number
-
+
620028864 = 26337133943
BaseRepresentation
bin100100111101001…
…110001111000000
31121012200201201000
4210331032033000
52232211410424
6141305212000
721236105220
oct4475161700
91535621630
10620028864
11298a98954
12153791000
139b5bc1b0
145c4bc080
15396773c9
hex24f4e3c0

620028864 has 224 divisors, whose sum is σ = 2243978240. Its totient is φ = 163482624.

The previous prime is 620028847. The next prime is 620028883. The reversal of 620028864 is 468820026.

620028864 is a `hidden beast` number, since 620 + 0 + 28 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155277 + ... + 159219.

It is an arithmetic number, because the mean of its divisors is an integer number (10017760).

Almost surely, 2620028864 is an apocalyptic number.

620028864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 620028864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121989120).

620028864 is an abundant number, since it is smaller than the sum of its proper divisors (1623949376).

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

620028864 is a wasteful number, since it uses less digits than its factorization.

620028864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 620028864 is about 24900.3787922995. The cubic root of 620028864 is about 852.7151305893.

The spelling of 620028864 in words is "six hundred twenty million, twenty-eight thousand, eight hundred sixty-four".