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421400420 = 225717593001
BaseRepresentation
bin11001000111100…
…000111101100100
31002100221100200222
4121013200331210
51330334303140
6105452023512
713304562440
oct3107407544
91070840628
10421400420
111a6962411
12b9161b98
13693c527c
143dd75820
1526ede5b5
hex191e0f64

421400420 has 96 divisors (see below), whose sum is σ = 1089365760. Its totient is φ = 133632000.

The previous prime is 421400389. The next prime is 421400423. The reversal of 421400420 is 24004124.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (421400423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138920 + ... + 141920.

It is an arithmetic number, because the mean of its divisors is an integer number (11347560).

Almost surely, 2421400420 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 421400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544682880).

421400420 is an abundant number, since it is smaller than the sum of its proper divisors (667965340).

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

421400420 is a wasteful number, since it uses less digits than its factorization.

421400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 421400420 is about 20528.0398479738. The cubic root of 421400420 is about 749.7186618858.

Adding to 421400420 its reverse (24004124), we get a palindrome (445404544).

The spelling of 421400420 in words is "four hundred twenty-one million, four hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 59 68 70 85 118 119 140 170 236 238 295 340 413 476 590 595 826 1003 1180 1190 1652 2006 2065 2380 3001 4012 4130 5015 6002 7021 8260 10030 12004 14042 15005 20060 21007 28084 30010 35105 42014 51017 60020 70210 84028 102034 105035 140420 177059 204068 210070 255085 354118 357119 420140 510170 708236 714238 885295 1020340 1239413 1428476 1770590 1785595 2478826 3010003 3541180 3571190 4957652 6020006 6197065 7142380 12040012 12394130 15050015 21070021 24788260 30100030 42140042 60200060 84280084 105350105 210700210 421400420