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21390420 = 22351767313
BaseRepresentation
bin101000110011…
…0010001010100
31111020202010210
41101212101110
520433443140
62042245420
7346546512
oct121462124
944222123
1021390420
111108aa37
1271b6870
13457c26c
142bab4b2
151d27d80
hex1466454

21390420 has 96 divisors (see below), whose sum is σ = 64568448. Its totient is φ = 5271552.

The previous prime is 21390389. The next prime is 21390427. The reversal of 21390420 is 2409312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21390427) 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, 68184 + ... + 68496.

It is an arithmetic number, because the mean of its divisors is an integer number (672588).

Almost surely, 221390420 is an apocalyptic number.

21390420 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 21390420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32284224).

21390420 is an abundant number, since it is smaller than the sum of its proper divisors (43178028).

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

21390420 is a wasteful number, since it uses less digits than its factorization.

21390420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 21390420 is about 4624.9778377847. The cubic root of 21390420 is about 277.5916749297.

Adding to 21390420 its reverse (2409312), we get a palindrome (23799732).

The spelling of 21390420 in words is "twenty-one million, three hundred ninety thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 67 68 85 102 134 170 201 204 255 268 313 335 340 402 510 626 670 804 939 1005 1020 1139 1252 1340 1565 1878 2010 2278 3130 3417 3756 4020 4556 4695 5321 5695 6260 6834 9390 10642 11390 13668 15963 17085 18780 20971 21284 22780 26605 31926 34170 41942 53210 62913 63852 68340 79815 83884 104855 106420 125826 159630 209710 251652 314565 319260 356507 419420 629130 713014 1069521 1258260 1426028 1782535 2139042 3565070 4278084 5347605 7130140 10695210 21390420