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535936420 = 22519412839
BaseRepresentation
bin11111111100011…
…011110110100100
31101100110101120001
4133330123312210
52044144431140
6125102551044
716165245565
oct3774336644
91340411501
10535936420
11255581a68
1212b598484
1387058156
145126c16c
15320b5e9a
hex1ff1bda4

535936420 has 72 divisors (see below), whose sum is σ = 1215748800. Its totient is φ = 197902080.

The previous prime is 535936411. The next prime is 535936421. The reversal of 535936420 is 24639535.

It is a self number, because there is not a number n which added to its sum of digits gives 535936420.

It is not an unprimeable number, because it can be changed into a prime (535936421) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 638361 + ... + 639199.

It is an arithmetic number, because the mean of its divisors is an integer number (16885400).

Almost surely, 2535936420 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 535936420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607874400).

535936420 is an abundant number, since it is smaller than the sum of its proper divisors (679812380).

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

535936420 is a wasteful number, since it uses less digits than its factorization.

535936420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

The square root of 535936420 is about 23150.3006459959. The cubic root of 535936420 is about 812.2775002584.

The spelling of 535936420 in words is "five hundred thirty-five million, nine hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 380 410 779 820 839 1558 1678 1681 3116 3356 3362 3895 4195 6724 7790 8390 8405 15580 15941 16780 16810 31882 31939 33620 34399 63764 63878 68798 79705 127756 137596 159410 159695 171995 318820 319390 343990 638780 653581 687980 1307162 1410359 2614324 2820718 3267905 5641436 6535810 7051795 13071620 14103590 26796821 28207180 53593642 107187284 133984105 267968210 535936420