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20412540 = 22335103367
BaseRepresentation
bin100110111011…
…1100001111100
31102102001202000
41031313201330
520211200130
62005302300
7335334531
oct115674174
942361660
1020412540
1110582275
126a04990
1342c9135
1429d4d88
151bd3260
hex137787c

20412540 has 96 divisors (see below), whose sum is σ = 64296960. Its totient is φ = 5375808.

The previous prime is 20412503. The next prime is 20412541. The reversal of 20412540 is 4521402.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20412541) 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, 55437 + ... + 55803.

It is an arithmetic number, because the mean of its divisors is an integer number (669760).

Almost surely, 220412540 is an apocalyptic number.

20412540 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 20412540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32148480).

20412540 is an abundant number, since it is smaller than the sum of its proper divisors (43884420).

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

20412540 is a wasteful number, since it uses less digits than its factorization.

20412540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 20412540 is about 4518.0239043192. The cubic root of 20412540 is about 273.2954174388.

Adding to 20412540 its reverse (4521402), we get a palindrome (24933942).

The spelling of 20412540 in words is "twenty million, four hundred twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 103 108 135 180 206 270 309 367 412 515 540 618 734 927 1030 1101 1236 1468 1545 1835 1854 2060 2202 2781 3090 3303 3670 3708 4404 4635 5505 5562 6180 6606 7340 9270 9909 11010 11124 13212 13905 16515 18540 19818 22020 27810 33030 37801 39636 49545 55620 66060 75602 99090 113403 151204 189005 198180 226806 340209 378010 453612 567015 680418 756020 1020627 1134030 1360836 1701045 2041254 2268060 3402090 4082508 5103135 6804180 10206270 20412540