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20820520 = 2357235361
BaseRepresentation
bin100111101101…
…1001000101000
31110011210101101
41033123020220
520312224040
62022131144
7341654140
oct117331050
943153341
1020820520
1110830846
126b80ab4
13440ca46
142a9d920
151c6409a
hex13db228

20820520 has 128 divisors (see below), whose sum is σ = 57853440. Its totient is φ = 6589440.

The previous prime is 20820511. The next prime is 20820533. The reversal of 20820520 is 2502802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341290 + ... + 341350.

It is an arithmetic number, because the mean of its divisors is an integer number (451980).

Almost surely, 220820520 is an apocalyptic number.

20820520 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 20820520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28926720).

20820520 is an abundant number, since it is smaller than the sum of its proper divisors (37032920).

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

20820520 is a wasteful number, since it uses less digits than its factorization.

20820520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 20820520 is about 4562.9507996471. The cubic root of 20820520 is about 275.1041809128.

The spelling of 20820520 in words is "twenty million, eight hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 53 56 61 70 92 106 115 122 140 161 184 212 230 244 265 280 305 322 371 424 427 460 488 530 610 644 742 805 854 920 1060 1219 1220 1288 1403 1484 1610 1708 1855 2120 2135 2438 2440 2806 2968 3220 3233 3416 3710 4270 4876 5612 6095 6440 6466 7015 7420 8533 8540 9752 9821 11224 12190 12932 14030 14840 16165 17066 17080 19642 22631 24380 25864 28060 32330 34132 39284 42665 45262 48760 49105 56120 64660 68264 74359 78568 85330 90524 98210 113155 129320 148718 170660 181048 196420 226310 297436 341320 371795 392840 452620 520513 594872 743590 905240 1041026 1487180 2082052 2602565 2974360 4164104 5205130 10410260 20820520