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21354040 = 23517311013
BaseRepresentation
bin101000101110…
…1011000111000
31111011220020101
41101131120320
520431312130
62041405144
7346335451
oct121353070
944156211
1021354040
1111065674
1271997b4
134568836
142b9c128
151d1c1ca
hex145d638

21354040 has 64 divisors (see below), whose sum is σ = 52565760. Its totient is φ = 7772160.

The previous prime is 21354019. The next prime is 21354049. The reversal of 21354040 is 4045312.

It is a junction number, because it is equal to n+sod(n) for n = 21353999 and 21354017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21354049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20574 + ... + 21586.

It is an arithmetic number, because the mean of its divisors is an integer number (821340).

Almost surely, 221354040 is an apocalyptic number.

21354040 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 21354040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26282880).

21354040 is an abundant number, since it is smaller than the sum of its proper divisors (31211720).

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

21354040 is a wasteful number, since it uses less digits than its factorization.

21354040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 21354040 is about 4621.0431722718. The cubic root of 21354040 is about 277.4342132286.

Adding to 21354040 its reverse (4045312), we get a palindrome (25399352).

It can be divided in two parts, 21 and 354040, that added together give a triangular number (354061 = T841).

The spelling of 21354040 in words is "twenty-one million, three hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 527 620 680 1013 1054 1240 2026 2108 2635 4052 4216 5065 5270 8104 10130 10540 17221 20260 21080 31403 34442 40520 62806 68884 86105 125612 137768 157015 172210 251224 314030 344420 533851 628060 688840 1067702 1256120 2135404 2669255 4270808 5338510 10677020 21354040