Search a number
-
+
402240 = 2635419
BaseRepresentation
bin1100010001101000000
3202102202210
41202031000
5100332430
612342120
73263466
oct1421500
9672683
10402240
11255233
12174940
13111117
14a6836
157e2b0
hex62340

402240 has 56 divisors (see below), whose sum is σ = 1280160. Its totient is φ = 107008.

The previous prime is 402239. The next prime is 402253. The reversal of 402240 is 42204.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 751 + ... + 1169.

It is an arithmetic number, because the mean of its divisors is an integer number (22860).

2402240 is an apocalyptic number.

402240 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 402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640080).

402240 is an abundant number, since it is smaller than the sum of its proper divisors (877920).

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

402240 is a wasteful number, since it uses less digits than its factorization.

402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 402240 is about 634.2239352153. The cubic root of 402240 is about 73.8179112085.

Adding to 402240 its reverse (42204), we get a palindrome (444444).

The spelling of 402240 in words is "four hundred two thousand, two hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 419 480 838 960 1257 1676 2095 2514 3352 4190 5028 6285 6704 8380 10056 12570 13408 16760 20112 25140 26816 33520 40224 50280 67040 80448 100560 134080 201120 402240