Search a number
-
+
4284140 = 225771431
BaseRepresentation
bin10000010101111011101100
322001122201212
4100111323230
52044043030
6231453552
751262130
oct20257354
98048655
104284140
112466813
1215272b8
13b6ccc3
147d73c0
15599595
hex415eec

4284140 has 48 divisors (see below), whose sum is σ = 10450944. Its totient is φ = 1444800.

The previous prime is 4284121. The next prime is 4284157. The reversal of 4284140 is 414824.

It is a congruent number.

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, 9725 + ... + 10155.

It is an arithmetic number, because the mean of its divisors is an integer number (217728).

Almost surely, 24284140 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 4284140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225472).

4284140 is an abundant number, since it is smaller than the sum of its proper divisors (6166804).

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

4284140 is a wasteful number, since it uses less digits than its factorization.

4284140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 4284140 is about 2069.8164169800. The cubic root of 4284140 is about 162.4131607023.

Adding to 4284140 its reverse (414824), we get a palindrome (4698964).

The spelling of 4284140 in words is "four million, two hundred eighty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 431 497 710 862 994 1420 1724 1988 2155 2485 3017 4310 4970 6034 8620 9940 12068 15085 30170 30601 60340 61202 122404 153005 214207 306010 428414 612020 856828 1071035 2142070 4284140