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10806264 = 2333721021
BaseRepresentation
bin101001001110…
…001111111000
3202100000102000
4221032033320
510231300024
61023341000
7160565100
oct51161770
922300360
1010806264
1161109a7
123751760
132314851
141614200
15e36cc9
hexa4e3f8

10806264 has 96 divisors (see below), whose sum is σ = 34952400. Its totient is φ = 3084480.

The previous prime is 10806233. The next prime is 10806283. The reversal of 10806264 is 46260801.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 10074 + ... + 11094.

Almost surely, 210806264 is an apocalyptic number.

10806264 is a gapful number since it is divisible by the number (14) 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 10806264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17476200).

10806264 is an abundant number, since it is smaller than the sum of its proper divisors (24146136).

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

10806264 is a wasteful number, since it uses less digits than its factorization.

10806264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10806264 is about 3287.2882441307. The cubic root of 10806264 is about 221.0846164244.

The spelling of 10806264 in words is "ten million, eight hundred six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1021 1176 1323 1512 1764 2042 2646 3063 3528 4084 5292 6126 7147 8168 9189 10584 12252 14294 18378 21441 24504 27567 28588 36756 42882 50029 55134 57176 64323 73512 85764 100058 110268 128646 150087 171528 192969 200116 220536 257292 300174 385938 400232 450261 514584 600348 771876 900522 1200696 1350783 1543752 1801044 2701566 3602088 5403132 10806264