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501343020 = 22355432399
BaseRepresentation
bin11101111000011…
…110001100101100
31021221100212100000
4131320132030230
52011320434040
6121425304300
715265226313
oct3570361454
91257325300
10501343020
11237aa4482
1211ba95090
137cb35499
144a82527a
152e031130
hex1de1e32c

501343020 has 144 divisors (see below), whose sum is σ = 1614412800. Its totient is φ = 130527936.

The previous prime is 501343019. The next prime is 501343027. The reversal of 501343020 is 20343105.

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 = 501342984 and 501343002.

It is not an unprimeable number, because it can be changed into a prime (501343027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207781 + ... + 210179.

It is an arithmetic number, because the mean of its divisors is an integer number (11211200).

Almost surely, 2501343020 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 501343020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807206400).

501343020 is an abundant number, since it is smaller than the sum of its proper divisors (1113069780).

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

501343020 is a wasteful number, since it uses less digits than its factorization.

501343020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 501343020 is about 22390.6904761778. The cubic root of 501343020 is about 794.4105277856.

Adding to 501343020 its reverse (20343105), we get a palindrome (521686125).

The spelling of 501343020 in words is "five hundred one million, three hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 81 86 90 108 129 135 162 172 180 215 243 258 270 324 387 405 430 486 516 540 645 774 810 860 972 1161 1215 1290 1548 1620 1935 2322 2399 2430 2580 3483 3870 4644 4798 4860 5805 6966 7197 7740 9596 10449 11610 11995 13932 14394 17415 20898 21591 23220 23990 28788 34830 35985 41796 43182 47980 52245 64773 69660 71970 86364 103157 104490 107955 129546 143940 194319 206314 208980 215910 259092 309471 323865 388638 412628 431820 515785 582957 618942 647730 777276 928413 971595 1031570 1165914 1237884 1295460 1547355 1856826 1943190 2063140 2331828 2785239 2914785 3094710 3713652 3886380 4642065 5570478 5829570 6189420 8355717 9284130 11140956 11659140 13926195 16711434 18568260 25067151 27852390 33422868 41778585 50134302 55704780 83557170 100268604 125335755 167114340 250671510 501343020