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20453040 = 2433517557
BaseRepresentation
bin100111000000…
…1011010110000
31102111010022000
41032001122300
520213444130
62010214000
7335563566
oct116013260
942433260
1020453040
11105aa743
126a24300
1343116ba
142a05a36
151be0260
hex13816b0

20453040 has 160 divisors (see below), whose sum is σ = 74727360. Its totient is φ = 5124096.

The previous prime is 20453039. The next prime is 20453047. The reversal of 20453040 is 4035402.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (20453047) 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, 36442 + ... + 36998.

It is an arithmetic number, because the mean of its divisors is an integer number (467046).

Almost surely, 220453040 is an apocalyptic number.

20453040 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 20453040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37363680).

20453040 is an abundant number, since it is smaller than the sum of its proper divisors (54274320).

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

20453040 is a wasteful number, since it uses less digits than its factorization.

20453040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 20453040 is about 4522.5037313417. The cubic root of 20453040 is about 273.4760441883.

Adding to 20453040 its reverse (4035402), we get a palindrome (24488442).

The spelling of 20453040 in words is "twenty million, four hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 557 612 680 720 765 816 918 1020 1080 1114 1224 1360 1530 1671 1836 2040 2160 2228 2295 2448 2785 3060 3342 3672 4080 4456 4590 5013 5570 6120 6684 7344 8355 8912 9180 9469 10026 11140 12240 13368 15039 16710 18360 18938 20052 22280 25065 26736 28407 30078 33420 36720 37876 40104 44560 47345 50130 56814 60156 66840 75195 75752 80208 85221 94690 100260 113628 120312 133680 142035 150390 151504 170442 189380 200520 227256 240624 255663 284070 300780 340884 378760 401040 426105 454512 511326 568140 601560 681768 757520 852210 1022652 1136280 1203120 1278315 1363536 1704420 2045304 2272560 2556630 3408840 4090608 5113260 6817680 10226520 20453040