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536139340 = 2251119472729
BaseRepresentation
bin11111111101001…
…101011001001100
31101100211200220121
4133331031121030
52044222424330
6125111154324
716200052312
oct3775153114
91340750817
10536139340
11255700470
1212b6759a4
13870c9619
14512c20b2
153210617a
hex1ff4d64c

536139340 has 96 divisors (see below), whose sum is σ = 1320883200. Its totient is φ = 180702720.

The previous prime is 536139323. The next prime is 536139341. The reversal of 536139340 is 43931635.

It is a junction number, because it is equal to n+sod(n) for n = 536139296 and 536139305.

It is not an unprimeable number, because it can be changed into a prime (536139341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195096 + ... + 197824.

It is an arithmetic number, because the mean of its divisors is an integer number (13759200).

Almost surely, 2536139340 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 536139340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

536139340 is an abundant number, since it is smaller than the sum of its proper divisors (784743860).

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

536139340 is a wasteful number, since it uses less digits than its factorization.

536139340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 34.

The square root of 536139340 is about 23154.6828956909. The cubic root of 536139340 is about 812.3800040541.

It can be divided in two parts, 536 and 139340, that added together give a square (139876 = 3742).

The spelling of 536139340 in words is "five hundred thirty-six million, one hundred thirty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 47 55 76 94 95 110 188 190 209 220 235 380 418 470 517 836 893 940 1034 1045 1786 2068 2090 2585 2729 3572 4180 4465 5170 5458 8930 9823 10340 10916 13645 17860 19646 27290 30019 39292 49115 51851 54580 60038 98230 103702 120076 128263 150095 196460 207404 256526 259255 300190 513052 518510 570361 600380 641315 1037020 1140722 1282630 1410893 2281444 2436997 2565260 2821786 2851805 4873994 5643572 5703610 7054465 9747988 11407220 12184985 14108930 24369970 26806967 28217860 48739940 53613934 107227868 134034835 268069670 536139340