Search a number
-
+
2428620 = 2235172381
BaseRepresentation
bin1001010000111011001100
311120101102220
421100323030
51110203440
6124015340
726433345
oct11207314
94511386
102428620
111409727
12991550
1367056c
144730cc
1532e8d0
hex250ecc

2428620 has 48 divisors (see below), whose sum is σ = 7203168. Its totient is φ = 609280.

The previous prime is 2428577. The next prime is 2428627. The reversal of 2428620 is 268242.

It is not an unprimeable number, because it can be changed into a prime (2428627) 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, 171 + ... + 2210.

It is an arithmetic number, because the mean of its divisors is an integer number (150066).

22428620 is an apocalyptic number.

2428620 is a gapful number since it is divisible by the number (20) 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 2428620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601584).

2428620 is an abundant number, since it is smaller than the sum of its proper divisors (4774548).

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

2428620 is a wasteful number, since it uses less digits than its factorization.

2428620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2428620 is about 1558.4030287445. The cubic root of 2428620 is about 134.4166876246.

The spelling of 2428620 in words is "two million, four hundred twenty-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 2381 4762 7143 9524 11905 14286 23810 28572 35715 40477 47620 71430 80954 121431 142860 161908 202385 242862 404770 485724 607155 809540 1214310 2428620