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54106206 = 2371117832
BaseRepresentation
bin1100111001100…
…1100001011110
310202210212202120
43032121201132
5102322344311
65211403410
71224616020
oct316314136
9122725676
1054106206
11285a5880
1216153566
13b29540b
147286010
154b3b706
hex339985e

54106206 has 96 divisors (see below), whose sum is σ = 144592128. Its totient is φ = 13067520.

The previous prime is 54106181. The next prime is 54106211. The reversal of 54106206 is 60260145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651841 + ... + 651923.

It is an arithmetic number, because the mean of its divisors is an integer number (1506168).

Almost surely, 254106206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54106206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72296064).

54106206 is an abundant number, since it is smaller than the sum of its proper divisors (90485922).

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

54106206 is a wasteful number, since it uses less digits than its factorization.

54106206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 54106206 is about 7355.6920816467. The cubic root of 54106206 is about 378.2239511632.

The spelling of 54106206 in words is "fifty-four million, one hundred six thousand, two hundred six".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 83 102 119 154 166 187 231 238 249 357 374 462 498 561 581 714 913 1122 1162 1309 1411 1743 1826 2618 2739 2822 3486 3927 4233 5478 6391 6889 7854 8466 9877 12782 13778 15521 19173 19754 20667 29631 31042 38346 41334 46563 48223 59262 75779 93126 96446 108647 117113 144669 151558 217294 227337 234226 289338 325941 351339 454674 530453 651882 702678 819791 1060906 1288243 1591359 1639582 2459373 2576486 3182718 3864729 4918746 7729458 9017701 18035402 27053103 54106206