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536546340 = 22325111012683
BaseRepresentation
bin11111111110110…
…000110000100100
31101101121101012200
4133332300300210
52044323440330
6125124014500
716203366021
oct3776606044
91341541180
10536546340
11255959230
1212b831430
138720c955
145138a548
1532186a60
hex1ffb0c24

536546340 has 144 divisors (see below), whose sum is σ = 1793727936. Its totient is φ = 128736000.

The previous prime is 536546327. The next prime is 536546341. The reversal of 536546340 is 43645635.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 536546295 and 536546304.

It is not an unprimeable number, because it can be changed into a prime (536546341) 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, 198639 + ... + 201321.

It is an arithmetic number, because the mean of its divisors is an integer number (12456444).

Almost surely, 2536546340 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 536546340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896863968).

536546340 is an abundant number, since it is smaller than the sum of its proper divisors (1257181596).

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

536546340 is a wasteful number, since it uses less digits than its factorization.

536546340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 536546340 is about 23163.4699473114. The cubic root of 536546340 is about 812.5855196768.

The spelling of 536546340 in words is "five hundred thirty-six million, five hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 101 110 132 165 180 198 202 220 303 330 396 404 495 505 606 660 909 990 1010 1111 1212 1515 1818 1980 2020 2222 2683 3030 3333 3636 4444 4545 5366 5555 6060 6666 8049 9090 9999 10732 11110 13332 13415 16098 16665 18180 19998 22220 24147 26830 29513 32196 33330 39996 40245 48294 49995 53660 59026 66660 80490 88539 96588 99990 118052 120735 147565 160980 177078 199980 241470 265617 270983 295130 354156 442695 482940 531234 541966 590260 812949 885390 1062468 1083932 1328085 1354915 1625898 1770780 2438847 2656170 2709830 2980813 3251796 4064745 4877694 5312340 5419660 5961626 8129490 8942439 9755388 11923252 12194235 14904065 16258980 17884878 24388470 26827317 29808130 35769756 44712195 48776940 53654634 59616260 89424390 107309268 134136585 178848780 268273170 536546340