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426240 = 2832537
BaseRepresentation
bin1101000000100000000
3210122200200
41220010000
5102114430
613045200
73423453
oct1500400
9718620
10426240
11271271
12186800
1311c019
14b149a
1586460
hex68100

426240 has 108 divisors (see below), whose sum is σ = 1514604. Its totient is φ = 110592.

The previous prime is 426233. The next prime is 426253. The reversal of 426240 is 42624.

426240 is a `hidden beast` number, since 42 + 624 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 147456 = 528^2 + 384^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

426240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11502 + ... + 11538.

2426240 is an apocalyptic number.

426240 is a gapful number since it is divisible by the number (40) 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 426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757302).

426240 is an abundant number, since it is smaller than the sum of its proper divisors (1088364).

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

426240 is a wasteful number, since it uses less digits than its factorization.

426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 426240 is about 652.8705844193. The cubic root of 426240 is about 75.2577796470.

Adding to 426240 its product of nonzero digits (384), we get a palindrome (426624).

Adding to 426240 its reverse (42624), we get a palindrome (468864).

It can be divided in two parts, 426 and 240, that added together give a palindrome (666).

The spelling of 426240 in words is "four hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 64 72 74 80 90 96 111 120 128 144 148 160 180 185 192 222 240 256 288 296 320 333 360 370 384 444 480 555 576 592 640 666 720 740 768 888 960 1110 1152 1184 1280 1332 1440 1480 1665 1776 1920 2220 2304 2368 2664 2880 2960 3330 3552 3840 4440 4736 5328 5760 5920 6660 7104 8880 9472 10656 11520 11840 13320 14208 17760 21312 23680 26640 28416 35520 42624 47360 53280 71040 85248 106560 142080 213120 426240