Search a number
-
+
21407220 = 22335291367
BaseRepresentation
bin101000110101…
…0010111110100
31111021121012000
41101222113310
520440012340
62042455300
7346646502
oct121522764
944247160
1021407220
11110a161a
127204530
134586ac3
142bb3672
151d2cd30
hex146a5f4

21407220 has 96 divisors (see below), whose sum is σ = 68947200. Its totient is φ = 5507712.

The previous prime is 21407213. The next prime is 21407257. The reversal of 21407220 is 2270412.

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 = 21407193 and 21407202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14977 + ... + 16343.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 221407220 is an apocalyptic number.

21407220 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 21407220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34473600).

21407220 is an abundant number, since it is smaller than the sum of its proper divisors (47539980).

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

21407220 is a wasteful number, since it uses less digits than its factorization.

21407220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 21407220 is about 4626.7937062290. The cubic root of 21407220 is about 277.6643292575.

Adding to 21407220 its reverse (2270412), we get a palindrome (23677632).

The spelling of 21407220 in words is "twenty-one million, four hundred seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1367 1566 1740 2610 2734 3132 3915 4101 5220 5468 6835 7830 8202 12303 13670 15660 16404 20505 24606 27340 36909 39643 41010 49212 61515 73818 79286 82020 118929 123030 147636 158572 184545 198215 237858 246060 356787 369090 396430 475716 594645 713574 738180 792860 1070361 1189290 1427148 1783935 2140722 2378580 3567870 4281444 5351805 7135740 10703610 21407220