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620490240 = 2933547191
BaseRepresentation
bin100100111110111…
…110111000000000
31121020120011121000
4210332332320000
52232321141430
6141323132000
721243036306
oct4476767000
91536504530
10620490240
11299283557
12153974000
139b7211b6
145c59c276
1539718e60
hex24fbee00

620490240 has 320 divisors, whose sum is σ = 2262712320. Its totient is φ = 161095680.

The previous prime is 620490217. The next prime is 620490271. The reversal of 620490240 is 42094026.

620490240 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 (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3248545 + ... + 3248735.

It is an arithmetic number, because the mean of its divisors is an integer number (7070976).

Almost surely, 2620490240 is an apocalyptic number.

620490240 is a gapful number since it is divisible by the number (60) 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 620490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131356160).

620490240 is an abundant number, since it is smaller than the sum of its proper divisors (1642222080).

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

620490240 is a wasteful number, since it uses less digits than its factorization.

620490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 620490240 is about 24909.6415068543. The cubic root of 620490240 is about 852.9265856654.

The spelling of 620490240 in words is "six hundred twenty million, four hundred ninety thousand, two hundred forty".