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134106819 = 3711580549
BaseRepresentation
bin1111111111001…
…00111011000011
3100100100022222020
413333210323003
5233312404234
621150212523
73215613660
oct777447303
9310308866
10134106819
1169777490
1238ab4143
1321a25b62
1413b4ca67
15bb90549
hex7fe4ec3

134106819 has 16 divisors (see below), whose sum is σ = 222931200. Its totient is φ = 69665760.

The previous prime is 134106803. The next prime is 134106827. The reversal of 134106819 is 918601431.

It is not a de Polignac number, because 134106819 - 24 = 134106803 is a prime.

It is a super-2 number, since 2×1341068192 = 35969277804597522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 134106819.

It is not an unprimeable number, because it can be changed into a prime (134106419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290044 + ... + 290505.

It is an arithmetic number, because the mean of its divisors is an integer number (13933200).

Almost surely, 2134106819 is an apocalyptic number.

134106819 is a deficient number, since it is larger than the sum of its proper divisors (88824381).

134106819 is a wasteful number, since it uses less digits than its factorization.

134106819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580570.

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 134106819 is about 11580.4498617282. The cubic root of 134106819 is about 511.8589330503.

It can be divided in two parts, 134 and 106819, that added together give a triangular number (106953 = T462).

The spelling of 134106819 in words is "one hundred thirty-four million, one hundred six thousand, eight hundred nineteen".

Divisors: 1 3 7 11 21 33 77 231 580549 1741647 4063843 6386039 12191529 19158117 44702273 134106819