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20444040 = 23325109521
BaseRepresentation
bin100110111111…
…1001110001000
31102110122221200
41031333032020
520213202130
62010104200
7335525421
oct115771610
942418850
1020444040
11105a3a01
126a1b060
13430a586
142a02648
151bdc760
hex137f388

20444040 has 96 divisors (see below), whose sum is σ = 67181400. Its totient is φ = 5391360.

The previous prime is 20444027. The next prime is 20444059. The reversal of 20444040 is 4044402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16208676 + 4235364 = 4026^2 + 2058^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38980 + ... + 39500.

Almost surely, 220444040 is an apocalyptic number.

20444040 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 20444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33590700).

20444040 is an abundant number, since it is smaller than the sum of its proper divisors (46737360).

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

20444040 is a wasteful number, since it uses less digits than its factorization.

20444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 20444040 is about 4521.5085978023. The cubic root of 20444040 is about 273.4359255311.

Adding to 20444040 its reverse (4044402), we get a palindrome (24488442).

It can be divided in two parts, 204440 and 40, that added together give a triangular number (204480 = T639).

The spelling of 20444040 in words is "twenty million, four hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 109 120 180 218 327 360 436 521 545 654 872 981 1042 1090 1308 1563 1635 1962 2084 2180 2605 2616 3126 3270 3924 4168 4360 4689 4905 5210 6252 6540 7815 7848 9378 9810 10420 12504 13080 15630 18756 19620 20840 23445 31260 37512 39240 46890 56789 62520 93780 113578 170367 187560 227156 283945 340734 454312 511101 567890 681468 851835 1022202 1135780 1362936 1703670 2044404 2271560 2555505 3407340 4088808 5111010 6814680 10222020 20444040