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514361106 = 232710393929
BaseRepresentation
bin11110101010001…
…000011100010010
31022211212020210100
4132222020130102
52023134023411
6123012313230
715513666030
oct3652103422
91284766710
10514361106
11244386126
12124312816
13827429ac
144c453550
1530253456
hex1ea88712

514361106 has 48 divisors (see below), whose sum is σ = 1275206400. Its totient is φ = 146781504.

The previous prime is 514361101. The next prime is 514361119. The reversal of 514361106 is 601163415.

514361106 is a `hidden beast` number, since 5 + 1 + 43 + 611 + 0 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 514361106.

It is not an unprimeable number, because it can be changed into a prime (514361101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128950 + ... + 132878.

It is an arithmetic number, because the mean of its divisors is an integer number (26566800).

Almost surely, 2514361106 is an apocalyptic number.

514361106 is an abundant number, since it is smaller than the sum of its proper divisors (760845294).

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

514361106 is a wasteful number, since it uses less digits than its factorization.

514361106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 514361106 is about 22679.5305506970. The cubic root of 514361106 is about 801.2278572026.

The spelling of 514361106 in words is "five hundred fourteen million, three hundred sixty-one thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1039 2078 3117 3929 6234 7273 7858 9351 11787 14546 18702 21819 23574 27503 35361 43638 55006 65457 70722 82509 130914 165018 247527 495054 4082231 8164462 12246693 24493386 28575617 36740079 57151234 73480158 85726851 171453702 257180553 514361106