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134842100 = 22522322549
BaseRepresentation
bin10000000100110…
…00011011110100
3100101201200120212
420002120123310
5234004421400
621214044552
73225065441
oct1002303364
9311650525
10134842100
116a129958
12391a9758
1321c22733
1413ca09c8
15bc88335
hex80986f4

134842100 has 54 divisors (see below), whose sum is σ = 306002550. Its totient is φ = 51571520.

The previous prime is 134842091. The next prime is 134842129. The reversal of 134842100 is 1248431.

It can be written as a sum of positive squares in 3 ways, for example, as 31494544 + 103347556 = 5612^2 + 10166^2 .

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51626 + ... + 54174.

Almost surely, 2134842100 is an apocalyptic number.

134842100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134842100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153001275).

134842100 is an abundant number, since it is smaller than the sum of its proper divisors (171160450).

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

134842100 is a wasteful number, since it uses less digits than its factorization.

134842100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 134842100 is about 11612.1531164552. The cubic root of 134842100 is about 512.7927021222.

The spelling of 134842100 in words is "one hundred thirty-four million, eight hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 529 575 1058 1150 2116 2300 2549 2645 5098 5290 10196 10580 12745 13225 25490 26450 50980 52900 58627 63725 117254 127450 234508 254900 293135 586270 1172540 1348421 1465675 2696842 2931350 5393684 5862700 6742105 13484210 26968420 33710525 67421050 134842100