Search a number
-
+
402045420 = 223574312221
BaseRepresentation
bin10111111101101…
…011100111101100
31001000112000122010
4113331223213230
51310410423140
6103521121220
712651221040
oct2775534754
91030460563
10402045420
11196a42747
12b2789210
13653a95ca
143b578020
1525469880
hex17f6b9ec

402045420 has 96 divisors (see below), whose sum is σ = 1290110976. Its totient is φ = 91641600.

The previous prime is 402045409. The next prime is 402045481. The reversal of 402045420 is 24540204.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179910 + ... + 182130.

It is an arithmetic number, because the mean of its divisors is an integer number (13438656).

Almost surely, 2402045420 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 402045420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645055488).

402045420 is an abundant number, since it is smaller than the sum of its proper divisors (888065556).

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

402045420 is a wasteful number, since it uses less digits than its factorization.

402045420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 402045420 is about 20051.0702956226. The cubic root of 402045420 is about 738.0600637067.

Adding to 402045420 its reverse (24540204), we get a palindrome (426585624).

The spelling of 402045420 in words is "four hundred two million, forty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 431 862 1293 1724 2155 2221 2586 3017 4310 4442 5172 6034 6465 6663 8620 8884 9051 11105 12068 12930 13326 15085 15547 18102 22210 25860 26652 30170 31094 33315 36204 44420 45255 46641 60340 62188 66630 77735 90510 93282 133260 155470 181020 186564 233205 310940 466410 932820 957251 1914502 2871753 3829004 4786255 5743506 6700757 9572510 11487012 13401514 14358765 19145020 20102271 26803028 28717530 33503785 40204542 57435060 67007570 80409084 100511355 134015140 201022710 402045420