Search a number
-
+
402424220 = 225112179929
BaseRepresentation
bin10111111111001…
…000000110011100
31001001020021020202
4113333020012130
51311010033340
6103533203032
712654356312
oct2777100634
91031207222
10402424220
11197181300
12b2930478
13654acb53
143b6360b2
15254e1c15
hex17fc819c

402424220 has 72 divisors (see below), whose sum is σ = 935096400. Its totient is φ = 145361920.

The previous prime is 402424207. The next prime is 402424223. The reversal of 402424220 is 22424204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 402424192 and 402424201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402424223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432716 + ... + 433644.

It is an arithmetic number, because the mean of its divisors is an integer number (12987450).

Almost surely, 2402424220 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 402424220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467548200).

402424220 is an abundant number, since it is smaller than the sum of its proper divisors (532672180).

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

402424220 is a wasteful number, since it uses less digits than its factorization.

402424220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 402424220 is about 20060.5139515417. The cubic root of 402424220 is about 738.2917866083.

Adding to 402424220 its reverse (22424204), we get a palindrome (424848424).

The spelling of 402424220 in words is "four hundred two million, four hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 179 220 242 358 484 605 716 895 929 1210 1790 1858 1969 2420 3580 3716 3938 4645 7876 9290 9845 10219 18580 19690 20438 21659 39380 40876 43318 51095 86636 102190 108295 112409 166291 204380 216590 224818 332582 433180 449636 562045 665164 831455 1124090 1662910 1829201 2248180 3325820 3658402 7316804 9146005 18292010 20121211 36584020 40242422 80484844 100606055 201212110 402424220