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421230440 = 23573181797
BaseRepresentation
bin11001000110110…
…111011101101000
31002100121201112102
4121012313131220
51330313333230
6105444232532
713303254041
oct3106673550
91070551472
10421230440
111a6856734
12b909b748
1369365aa7
143dd2d8c8
1526ea9045
hex191b7768

421230440 has 64 divisors (see below), whose sum is σ = 967271760. Its totient is φ = 165058560.

The previous prime is 421230427. The next prime is 421230443. The reversal of 421230440 is 44032124.

It can be written as a sum of positive squares in 8 ways, for example, as 64096036 + 357134404 = 8006^2 + 18898^2 .

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

It is not an unprimeable number, because it can be changed into a prime (421230443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528122 + ... + 528918.

Almost surely, 2421230440 is an apocalyptic number.

421230440 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 421230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483635880).

421230440 is an abundant number, since it is smaller than the sum of its proper divisors (546041320).

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

421230440 is a wasteful number, since it uses less digits than its factorization.

421230440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 421230440 is about 20523.8992396669. The cubic root of 421230440 is about 749.6178438271.

Adding to 421230440 its reverse (44032124), we get a palindrome (465262564).

The spelling of 421230440 in words is "four hundred twenty-one million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 181 292 362 365 584 724 730 797 905 1448 1460 1594 1810 2920 3188 3620 3985 6376 7240 7970 13213 15940 26426 31880 52852 58181 66065 105704 116362 132130 144257 232724 264260 288514 290905 465448 528520 577028 581810 721285 1154056 1163620 1442570 2327240 2885140 5770280 10530761 21061522 42123044 52653805 84246088 105307610 210615220 421230440