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421313420 = 2251167101283
BaseRepresentation
bin11001000111001…
…011101110001100
31002100202221100202
4121013023232030
51330324012140
6105450113032
713304051003
oct3107135614
91070687322
10421313420
111a6903010
12b911b778
13693947a8
143dd51c3a
1526ec3915
hex191cbb8c

421313420 has 96 divisors (see below), whose sum is σ = 992791296. Its totient is φ = 148896000.

The previous prime is 421313419. The next prime is 421313489. The reversal of 421313420 is 24313124.

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 = 421313392 and 421313401.

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, 1488599 + ... + 1488881.

It is an arithmetic number, because the mean of its divisors is an integer number (10341576).

Almost surely, 2421313420 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 421313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496395648).

421313420 is an abundant number, since it is smaller than the sum of its proper divisors (571477876).

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

421313420 is a wasteful number, since it uses less digits than its factorization.

421313420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 421313420 is about 20525.9206858060. The cubic root of 421313420 is about 749.6670640786.

Adding to 421313420 its reverse (24313124), we get a palindrome (445626544).

The spelling of 421313420 in words is "four hundred twenty-one million, three hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 101 110 134 202 220 268 283 335 404 505 566 670 737 1010 1111 1132 1340 1415 1474 2020 2222 2830 2948 3113 3685 4444 5555 5660 6226 6767 7370 11110 12452 13534 14740 15565 18961 22220 27068 28583 31130 33835 37922 57166 62260 67670 74437 75844 94805 114332 135340 142915 148874 189610 208571 285830 297748 314413 372185 379220 417142 571660 628826 744370 834284 1042855 1257652 1488740 1572065 1915061 2085710 3144130 3830122 4171420 6288260 7660244 9575305 19150610 21065671 38301220 42131342 84262684 105328355 210656710 421313420