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106527730 = 25291013637
BaseRepresentation
bin1100101100101…
…11101111110010
321102110011120111
412112113233302
5204232341410
614323131534
72432320321
oct626275762
9242404514
10106527730
115514a951
122b813baa
13190baa7a
14102100b8
159543b8a
hex6597bf2

106527730 has 32 divisors (see below), whose sum is σ = 200381040. Its totient is φ = 40723200.

The previous prime is 106527719. The next prime is 106527779. The reversal of 106527730 is 37725601.

It can be written as a sum of positive squares in 8 ways, for example, as 45171841 + 61355889 = 6721^2 + 7833^2 .

It is a super-2 number, since 2×1065277302 = 22696314517905800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106527692 and 106527701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27472 + ... + 31108.

Almost surely, 2106527730 is an apocalyptic number.

106527730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106527730 is a deficient number, since it is larger than the sum of its proper divisors (93853310).

106527730 is a wasteful number, since it uses less digits than its factorization.

106527730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 106527730 is about 10321.2271557214. The cubic root of 106527730 is about 474.0464415913.

The spelling of 106527730 in words is "one hundred six million, five hundred twenty-seven thousand, seven hundred thirty".

Divisors: 1 2 5 10 29 58 101 145 202 290 505 1010 2929 3637 5858 7274 14645 18185 29290 36370 105473 210946 367337 527365 734674 1054730 1836685 3673370 10652773 21305546 53263865 106527730