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106582260 = 22356726513
BaseRepresentation
bin1100101101001…
…01000011110100
321102112221101010
412112211003310
5204241113020
614324232220
72432635311
oct626450364
9242487333
10106582260
1155187914
122b83b670
1319109835
1410225d08
159554de0
hex65a50f4

106582260 has 48 divisors (see below), whose sum is σ = 302895936. Its totient is φ = 27996672.

The previous prime is 106582249. The next prime is 106582283. The reversal of 106582260 is 62285601.

It is a super-2 number, since 2×1065822602 = 22719556293415200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 9237 + ... + 17276.

It is an arithmetic number, because the mean of its divisors is an integer number (6310332).

Almost surely, 2106582260 is an apocalyptic number.

106582260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106582260 is an abundant number, since it is smaller than the sum of its proper divisors (196313676).

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

106582260 is a wasteful number, since it uses less digits than its factorization.

106582260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26592 (or 26590 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 106582260 is about 10323.8684609985. The cubic root of 106582260 is about 474.1273136266.

The spelling of 106582260 in words is "one hundred six million, five hundred eighty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 26513 53026 79539 106052 132565 159078 265130 318156 397695 530260 795390 1590780 1776371 3552742 5329113 7105484 8881855 10658226 17763710 21316452 26645565 35527420 53291130 106582260