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21405420 = 223251091091
BaseRepresentation
bin101000110100…
…1111011101100
31111021111201100
41101221323230
520434433140
62042443100
7346641321
oct121517354
944244640
1021405420
11110a0233
127203490
13458603a
142bb2b48
151d2c530
hex1469eec

21405420 has 72 divisors (see below), whose sum is σ = 65585520. Its totient is φ = 5650560.

The previous prime is 21405409. The next prime is 21405427. The reversal of 21405420 is 2450412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21405393 and 21405402.

It is not an unprimeable number, because it can be changed into a prime (21405427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19075 + ... + 20165.

It is an arithmetic number, because the mean of its divisors is an integer number (910910).

Almost surely, 221405420 is an apocalyptic number.

21405420 is a gapful number since it is divisible by the number (20) 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 21405420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32792760).

21405420 is an abundant number, since it is smaller than the sum of its proper divisors (44180100).

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

21405420 is a wasteful number, since it uses less digits than its factorization.

21405420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 21405420 is about 4626.5991829853. The cubic root of 21405420 is about 277.6565466838.

Adding to 21405420 its reverse (2450412), we get a palindrome (23855832).

The spelling of 21405420 in words is "twenty-one million, four hundred five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1091 1308 1635 1962 2180 2182 3270 3273 3924 4364 4905 5455 6540 6546 9810 9819 10910 13092 16365 19620 19638 21820 32730 39276 49095 65460 98190 118919 196380 237838 356757 475676 594595 713514 1070271 1189190 1427028 1783785 2140542 2378380 3567570 4281084 5351355 7135140 10702710 21405420