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56005020 = 22345181191
BaseRepresentation
bin1101010110100…
…1000110011100
310220101100110000
43111221012130
5103314130040
65320214300
71250014641
oct325510634
9126340400
1056005020
1129682445
121690a390
13b7ab786
14761bdc8
154db4130
hex356919c

56005020 has 120 divisors (see below), whose sum is σ = 177585408. Its totient is φ = 14774400.

The previous prime is 56005009. The next prime is 56005031. The reversal of 56005020 is 2050065.

56005020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56005009) and next prime (56005031).

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

It is a junction number, because it is equal to n+sod(n) for n = 56004984 and 56005002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 293125 + ... + 293315.

Almost surely, 256005020 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 56005020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88792704).

56005020 is an abundant number, since it is smaller than the sum of its proper divisors (121580388).

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

56005020 is a wasteful number, since it uses less digits than its factorization.

56005020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 56005020 is about 7483.6501788900. The cubic root of 56005020 is about 382.5976682540.

Adding to 56005020 its reverse (2050065), we get a palindrome (58055085).

The spelling of 56005020 in words is "fifty-six million, five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 181 191 270 324 362 382 405 540 543 573 724 764 810 905 955 1086 1146 1620 1629 1719 1810 1910 2172 2292 2715 2865 3258 3438 3620 3820 4887 5157 5430 5730 6516 6876 8145 8595 9774 10314 10860 11460 14661 15471 16290 17190 19548 20628 24435 25785 29322 30942 32580 34380 34571 48870 51570 58644 61884 69142 73305 77355 97740 103140 103713 138284 146610 154710 172855 207426 293220 309420 311139 345710 414852 518565 622278 691420 933417 1037130 1244556 1555695 1866834 2074260 2800251 3111390 3733668 4667085 5600502 6222780 9334170 11201004 14001255 18668340 28002510 56005020