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21354420 = 22351512357
BaseRepresentation
bin101000101110…
…1011110110100
31111011220202110
41101131132310
520431320140
62041411020
7346336533
oct121353664
944156673
1021354420
111106598a
127199a70
134568a69
142b9c31a
151d1c380
hex145d7b4

21354420 has 48 divisors (see below), whose sum is σ = 60213888. Its totient is φ = 5654400.

The previous prime is 21354413. The next prime is 21354433. The reversal of 21354420 is 2445312.

It is a super-2 number, since 2×213544202 = 912022507072800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7882 + ... + 10238.

It is an arithmetic number, because the mean of its divisors is an integer number (1254456).

Almost surely, 221354420 is an apocalyptic number.

21354420 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 21354420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30106944).

21354420 is an abundant number, since it is smaller than the sum of its proper divisors (38859468).

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

21354420 is a wasteful number, since it uses less digits than its factorization.

21354420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 21354420 is about 4621.0842883462. The cubic root of 21354420 is about 277.4358588872.

Adding to 21354420 its reverse (2445312), we get a palindrome (23799732).

It can be divided in two parts, 2135 and 4420, that added together give a triangular number (6555 = T114).

The spelling of 21354420 in words is "twenty-one million, three hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1510 1812 2265 2357 3020 4530 4714 7071 9060 9428 11785 14142 23570 28284 35355 47140 70710 141420 355907 711814 1067721 1423628 1779535 2135442 3559070 4270884 5338605 7118140 10677210 21354420