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106434580 = 22571940013
BaseRepresentation
bin1100101100000…
…01000000010100
321102021102210111
412112001000110
5204221401310
614321132404
72431451620
oct626010024
9242242714
10106434580
115509696a
122b78a104
1319087555
14101c8180
15952628a
hex6581014

106434580 has 48 divisors (see below), whose sum is σ = 268894080. Its totient is φ = 34570368.

The previous prime is 106434557. The next prime is 106434613. The reversal of 106434580 is 85434601.

It is a happy number.

It is a super-2 number, since 2×1064345802 = 22656639639552800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17347 + ... + 22666.

It is an arithmetic number, because the mean of its divisors is an integer number (5601960).

Almost surely, 2106434580 is an apocalyptic number.

106434580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106434580 is an abundant number, since it is smaller than the sum of its proper divisors (162459500).

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

106434580 is a wasteful number, since it uses less digits than its factorization.

106434580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40048 (or 40046 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 106434580 is about 10316.7136240181. The cubic root of 106434580 is about 473.9082293687.

The spelling of 106434580 in words is "one hundred six million, four hundred thirty-four thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 40013 80026 160052 200065 280091 400130 560182 760247 800260 1120364 1400455 1520494 2800910 3040988 3801235 5321729 5601820 7602470 10643458 15204940 21286916 26608645 53217290 106434580