Search a number
-
+
106670592 = 293273307
BaseRepresentation
bin1100101101110…
…10101000000000
321102201102112200
412112322220000
5204301424332
614330153200
72433453660
oct626725000
9242642480
10106670592
1155238216
122b882800
131913aac2
141024a1a0
15957117c
hex65baa00

106670592 has 120 divisors (see below), whose sum is σ = 351944736. Its totient is φ = 30468096.

The previous prime is 106670587. The next prime is 106670647. The reversal of 106670592 is 295076601.

106670592 is a `hidden beast` number, since 1 + 0 + 6 + 67 + 0 + 592 = 666.

It is a super-2 number, since 2×1066705922 = 22757230395260928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 30603 + ... + 33909.

Almost surely, 2106670592 is an apocalyptic number.

106670592 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 106670592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175972368).

106670592 is an abundant number, since it is smaller than the sum of its proper divisors (245274144).

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

106670592 is an equidigital number, since it uses as much as digits as its factorization.

106670592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 106670592 is about 10328.1456225210. The cubic root of 106670592 is about 474.2582580239.

The spelling of 106670592 in words is "one hundred six million, six hundred seventy thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3307 3584 4032 4608 5376 6614 8064 9921 10752 13228 16128 19842 23149 26456 29763 32256 39684 46298 52912 59526 69447 79368 92596 105824 119052 138894 158736 185192 208341 211648 238104 277788 317472 370384 416682 423296 476208 555576 634944 740768 833364 846592 952416 1111152 1269888 1481536 1666728 1693184 1904832 2222304 2539776 2963072 3333456 3809664 4444608 5079552 5926144 6666912 7619328 8889216 11852288 13333824 15238656 17778432 26667648 35556864 53335296 106670592