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20370480 = 2435136529
BaseRepresentation
bin100110110110…
…1010000110000
31102022221001020
41031231100300
520203323410
62004335440
7335101104
oct115552060
942287036
1020370480
1110553709
1269a4580
1342b2c50
1429c3904
151bc5a70
hex136d430

20370480 has 80 divisors (see below), whose sum is σ = 68016480. Its totient is φ = 5013504.

The previous prime is 20370473. The next prime is 20370487. The reversal of 20370480 is 8407302.

It is an interprime number because it is at equal distance from previous prime (20370473) and next prime (20370487).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20370480.

It is not an unprimeable number, because it can be changed into a prime (20370487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145 + ... + 6384.

It is an arithmetic number, because the mean of its divisors is an integer number (850206).

Almost surely, 220370480 is an apocalyptic number.

20370480 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 20370480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34008240).

20370480 is an abundant number, since it is smaller than the sum of its proper divisors (47646000).

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

20370480 is a wasteful number, since it uses less digits than its factorization.

20370480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6558 (or 6552 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 20370480 is about 4513.3668142530. The cubic root of 20370480 is about 273.1075801369.

Adding to 20370480 its reverse (8407302), we get a palindrome (28777782).

The spelling of 20370480 in words is "twenty million, three hundred seventy thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 6529 13058 19587 26116 32645 39174 52232 65290 78348 84877 97935 104464 130580 156696 169754 195870 254631 261160 313392 339508 391740 424385 509262 522320 679016 783480 848770 1018524 1273155 1358032 1566960 1697540 2037048 2546310 3395080 4074096 5092620 6790160 10185240 20370480