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534602106 = 23424113693
BaseRepresentation
bin11111110111010…
…110000101111010
31101020221121020000
4133313112011322
52043324231411
6125014213430
716151020503
oct3767260572
91336847200
10534602106
11254850525
1212b054276
13869aba0c
1451001baa
1531e00956
hex1fdd617a

534602106 has 40 divisors (see below), whose sum is σ = 1202963124. Its totient is φ = 177448320.

The previous prime is 534602083. The next prime is 534602119. The reversal of 534602106 is 601206435.

534602106 is a `hidden beast` number, since 53 + 4 + 602 + 1 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 408242025 + 126360081 = 20205^2 + 11241^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 534602106.

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 19 ways as a sum of consecutive naturals, for example, 32196 + ... + 45888.

Almost surely, 2534602106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534602106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601481562).

534602106 is an abundant number, since it is smaller than the sum of its proper divisors (668361018).

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

534602106 is a wasteful number, since it uses less digits than its factorization.

534602106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13948 (or 13939 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 534602106 is about 23121.4641837406. The cubic root of 534602106 is about 811.6028344369.

The spelling of 534602106 in words is "five hundred thirty-four million, six hundred two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 241 482 723 1446 2169 4338 6507 13014 13693 19521 27386 39042 41079 82158 123237 246474 369711 739422 1109133 2218266 3300013 6600026 9900039 19800078 29700117 59400234 89100351 178200702 267301053 534602106