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20518416 = 2432891601
BaseRepresentation
bin100111001000…
…1011000010000
31102121102222100
41032101120100
520223042131
62011440400
7336255312
oct116213020
942542870
1020518416
1110644876
126a56100
134335399
142a217b2
151c047e6
hex1391610

20518416 has 60 divisors (see below), whose sum is σ = 58104540. Its totient is φ = 6758400.

The previous prime is 20518411. The next prime is 20518417. The reversal of 20518416 is 61481502.

It can be written as a sum of positive squares in 2 ways, for example, as 14288400 + 6230016 = 3780^2 + 2496^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20518416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20518411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12016 + ... + 13616.

It is an arithmetic number, because the mean of its divisors is an integer number (968409).

Almost surely, 220518416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20518416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29052270).

20518416 is an abundant number, since it is smaller than the sum of its proper divisors (37586124).

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

20518416 is a wasteful number, since it uses less digits than its factorization.

20518416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 20518416 is about 4529.7258195171. The cubic root of 20518416 is about 273.7671134607.

Adding to 20518416 its reverse (61481502), we get a palindrome (81999918).

The spelling of 20518416 in words is "twenty million, five hundred eighteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1601 1602 2136 3202 3204 4272 4803 6404 6408 9606 12808 12816 14409 19212 25616 28818 38424 57636 76848 115272 142489 230544 284978 427467 569956 854934 1139912 1282401 1709868 2279824 2564802 3419736 5129604 6839472 10259208 20518416