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20648520 = 233456373
BaseRepresentation
bin100111011000…
…1001001001000
31102212001110000
41032301021020
520241223040
62014323000
7340336524
oct116611110
942761400
1020648520
11107235a2
126ab9460
13437c679
142a56d84
151c2d130
hex13b1248

20648520 has 80 divisors (see below), whose sum is σ = 69412860. Its totient is φ = 5505408.

The previous prime is 20648501. The next prime is 20648527. The reversal of 20648520 is 2584602.

It can be written as a sum of positive squares in 2 ways, for example, as 20412324 + 236196 = 4518^2 + 486^2 .

It is a super-2 number, since 2×206485202 = 852722756380800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20648527) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54 + ... + 6426.

Almost surely, 220648520 is an apocalyptic number.

20648520 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 20648520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34706430).

20648520 is an abundant number, since it is smaller than the sum of its proper divisors (48764340).

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

20648520 is a wasteful number, since it uses less digits than its factorization.

20648520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6396 (or 6383 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 20648520 is about 4544.0642601090. The cubic root of 20648520 is about 274.3445325869.

The spelling of 20648520 in words is "twenty million, six hundred forty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 6373 12746 19119 25492 31865 38238 50984 57357 63730 76476 95595 114714 127460 152952 172071 191190 229428 254920 286785 344142 382380 458856 516213 573570 688284 764760 860355 1032426 1147140 1376568 1720710 2064852 2294280 2581065 3441420 4129704 5162130 6882840 10324260 20648520