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501100020 = 2236534369
BaseRepresentation
bin11101110111100…
…010110111110100
31021220220112000000
4131313202313310
52011240200040
6121420151300
715263165001
oct3567426764
91256815000
10501100020
11237948953
1211b998530
137ca7b9b5
144a7a08a8
152ded4130
hex1dde2df4

501100020 has 84 divisors (see below), whose sum is σ = 1577789220. Its totient is φ = 133622784.

The previous prime is 501100009. The next prime is 501100031. The reversal of 501100020 is 20001105.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (501100009) and next prime (501100031).

It can be written as a sum of positive squares in 2 ways, for example, as 373726224 + 127373796 = 19332^2 + 11286^2 .

It is a super-2 number, since 2×5011000202 = 502202460088000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 501099975 and 501100011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2605 + ... + 31764.

It is an arithmetic number, because the mean of its divisors is an integer number (18783205).

Almost surely, 2501100020 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 501100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788894610).

501100020 is an abundant number, since it is smaller than the sum of its proper divisors (1076689200).

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

501100020 is a wasteful number, since it uses less digits than its factorization.

501100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34396 (or 34379 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 501100020 is about 22385.2634561222. The cubic root of 501100020 is about 794.2821572901.

Adding to 501100020 its reverse (20001105), we get a palindrome (521101125).

The spelling of 501100020 in words is "five hundred one million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 34369 68738 103107 137476 171845 206214 309321 343690 412428 515535 618642 687380 927963 1031070 1237284 1546605 1855926 2062140 2783889 3093210 3711852 4639815 5567778 6186420 8351667 9279630 11135556 13919445 16703334 18559260 25055001 27838890 33406668 41758335 50110002 55677780 83516670 100220004 125275005 167033340 250550010 501100020