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20421440 = 265134909
BaseRepresentation
bin100110111100…
…1101101000000
31102102111221122
41031321231000
520211441230
62005411412
7335402504
oct115715500
942374848
1020421440
1110588a26
126a09b68
1343001c0
1429d8304
151bd5be5
hex1379b40

20421440 has 56 divisors (see below), whose sum is σ = 52379880. Its totient is φ = 7538688.

The previous prime is 20421433. The next prime is 20421449. The reversal of 20421440 is 4412402.

It can be written as a sum of positive squares in 4 ways, for example, as 4293184 + 16128256 = 2072^2 + 4016^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20421449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1706 + ... + 6614.

It is an arithmetic number, because the mean of its divisors is an integer number (935355).

Almost surely, 220421440 is an apocalyptic number.

20421440 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 20421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26189940).

20421440 is an abundant number, since it is smaller than the sum of its proper divisors (31958440).

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

20421440 is a wasteful number, since it uses less digits than its factorization.

20421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 20421440 is about 4519.0087408634. The cubic root of 20421440 is about 273.3351311931.

Adding to 20421440 its reverse (4412402), we get a palindrome (24833842).

The spelling of 20421440 in words is "twenty million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 4909 9818 19636 24545 39272 49090 63817 78544 98180 127634 157088 196360 255268 314176 319085 392720 510536 638170 785440 1021072 1276340 1570880 2042144 2552680 4084288 5105360 10210720 20421440