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606242840 = 23577927407
BaseRepresentation
bin100100001000101…
…000100000011000
31120020202022211112
4210020220200120
52220144232330
6140053515452
721010656560
oct4410504030
91506668745
10606242840
11291232245
1214b042b88
13987a3298
145a72dda0
1538352795
hex24228818

606242840 has 64 divisors (see below), whose sum is σ = 1578700800. Its totient is φ = 205216128.

The previous prime is 606242807. The next prime is 606242843. The reversal of 606242840 is 48242606.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 606242797 and 606242806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (606242843) 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, 8417 + ... + 35823.

It is an arithmetic number, because the mean of its divisors is an integer number (24667200).

Almost surely, 2606242840 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 606242840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789350400).

606242840 is an abundant number, since it is smaller than the sum of its proper divisors (972457960).

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

606242840 is a wasteful number, since it uses less digits than its factorization.

606242840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27504 (or 27500 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 606242840 is about 24621.9991064901. Note that the first 3 decimals coincide. The cubic root of 606242840 is about 846.3478087834.

The spelling of 606242840 in words is "six hundred six million, two hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 280 316 395 553 632 790 1106 1580 2212 2765 3160 4424 5530 11060 22120 27407 54814 109628 137035 191849 219256 274070 383698 548140 767396 959245 1096280 1534792 1918490 2165153 3836980 4330306 7673960 8660612 10825765 15156071 17321224 21651530 30312142 43303060 60624284 75780355 86606120 121248568 151560710 303121420 606242840