Search a number
-
+
106673232 = 24317314217
BaseRepresentation
bin1100101101110…
…11010001010000
321102201120011110
412112323101100
5204302020412
614330213320
72433464451
oct626732120
9242646143
10106673232
115523a1a6
122b884240
131913c073
141024b128
159571d3c
hex65bb450

106673232 has 80 divisors (see below), whose sum is σ = 301266432. Its totient is φ = 32378880.

The previous prime is 106673213. The next prime is 106673251. The reversal of 106673232 is 232376601.

It is an interprime number because it is at equal distance from previous prime (106673213) and next prime (106673251).

It is a super-2 number, since 2×1066732322 = 22758356850651648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106673232.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23188 + ... + 27404.

Almost surely, 2106673232 is an apocalyptic number.

106673232 is a gapful number since it is divisible by the number (12) 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 106673232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150633216).

106673232 is an abundant number, since it is smaller than the sum of its proper divisors (194593200).

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

106673232 is a wasteful number, since it uses less digits than its factorization.

106673232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 106673232 is about 10328.2734278291. The cubic root of 106673232 is about 474.2621704783.

The spelling of 106673232 in words is "one hundred six million, six hundred seventy-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 496 527 744 816 1054 1488 1581 2108 3162 4216 4217 6324 8432 8434 12648 12651 16868 25296 25302 33736 50604 67472 71689 101208 130727 143378 202416 215067 261454 286756 392181 430134 522908 573512 784362 860268 1045816 1147024 1568724 1720536 2091632 2222359 3137448 3441072 4444718 6274896 6667077 8889436 13334154 17778872 26668308 35557744 53336616 106673232