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2428460 = 225295379
BaseRepresentation
bin1001010000111000101100
311120101012222
421100320230
51110202320
6124014512
726433026
oct11207054
94511188
102428460
1114095a1
12991438
13670478
14473016
1532e825
hex250e2c

2428460 has 48 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 908544.

The previous prime is 2428457. The next prime is 2428487. The reversal of 2428460 is 648242.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30701 + ... + 30779.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

22428460 is an apocalyptic number.

2428460 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 2428460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

2428460 is an abundant number, since it is smaller than the sum of its proper divisors (3014740).

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

2428460 is a wasteful number, since it uses less digits than its factorization.

2428460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 2428460 is about 1558.3516932965. The cubic root of 2428460 is about 134.4137357230.

The spelling of 2428460 in words is "two million, four hundred twenty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 29 53 58 79 106 116 145 158 212 265 290 316 395 530 580 790 1060 1537 1580 2291 3074 4187 4582 6148 7685 8374 9164 11455 15370 16748 20935 22910 30740 41870 45820 83740 121423 242846 485692 607115 1214230 2428460