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100006734 = 2343387623
BaseRepresentation
bin1011111010111…
…11101101001110
320222011212110010
411331133231032
5201100203414
613531254050
72323020552
oct575375516
9228155403
10100006734
11514a65a3
12295aa326
13179468a9
14d3d3862
158ba6959
hex5f5fb4e

100006734 has 16 divisors (see below), whose sum is σ = 204665472. Its totient is φ = 32560248.

The previous prime is 100006729. The next prime is 100006757. The reversal of 100006734 is 437600001.

100006734 is a modest number, since divided by 6734 gives 100 as remainder.

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 100006734.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 193554 + ... + 194069.

It is an arithmetic number, because the mean of its divisors is an integer number (12791592).

Almost surely, 2100006734 is an apocalyptic number.

100006734 is an abundant number, since it is smaller than the sum of its proper divisors (104658738).

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

100006734 is a wasteful number, since it uses less digits than its factorization.

100006734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387671.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 100006734 is about 10000.3366943318. The cubic root of 100006734 is about 464.1693019472.

Adding to 100006734 its reverse (437600001), we get a palindrome (537606735).

The spelling of 100006734 in words is "one hundred million, six thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 43 86 129 258 387623 775246 1162869 2325738 16667789 33335578 50003367 100006734