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402430020 = 223573139661
BaseRepresentation
bin10111111111001…
…001100001000100
31001001020120012120
4113333021201010
51311010230040
6103533245540
712654412236
oct2777114104
91031216176
10402430020
111971856a3
12b29338b0
13654b2695
143b638256
15254e37d0
hex17fc9844

402430020 has 96 divisors (see below), whose sum is σ = 1152197760. Its totient is φ = 104924160.

The previous prime is 402429971. The next prime is 402430033. The reversal of 402430020 is 20034204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 608490 + ... + 609150.

It is an arithmetic number, because the mean of its divisors is an integer number (12002060).

Almost surely, 2402430020 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 402430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576098880).

402430020 is an abundant number, since it is smaller than the sum of its proper divisors (749767740).

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

402430020 is a wasteful number, since it uses less digits than its factorization.

402430020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 402430020 is about 20060.6585136181. The cubic root of 402430020 is about 738.2953335053.

Adding to 402430020 its reverse (20034204), we get a palindrome (422464224).

The spelling of 402430020 in words is "four hundred two million, four hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 139 146 219 278 292 365 417 438 556 661 695 730 834 876 1095 1322 1390 1460 1668 1983 2085 2190 2644 2780 3305 3966 4170 4380 6610 7932 8340 9915 10147 13220 19830 20294 30441 39660 40588 48253 50735 60882 91879 96506 101470 121764 144759 152205 183758 193012 202940 241265 275637 289518 304410 367516 459395 482530 551274 579036 608820 723795 918790 965060 1102548 1378185 1447590 1837580 2756370 2895180 5512740 6707167 13414334 20121501 26828668 33535835 40243002 67071670 80486004 100607505 134143340 201215010 402430020