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106304060 = 22517734283
BaseRepresentation
bin1100101011000…
…01001000111100
321102000210202102
412111201020330
5204203212220
614314244232
72430366242
oct625411074
9242023672
10106304060
11550078a5
122b726678
1319040015
1410192792
1594ec775
hex656123c

106304060 has 48 divisors (see below), whose sum is σ = 239664096. Its totient is φ = 39462912.

The previous prime is 106304047. The next prime is 106304063. The reversal of 106304060 is 60403601.

It is a super-2 number, since 2×1063040602 = 22601106344967200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106304063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22679 + ... + 26961.

It is an arithmetic number, because the mean of its divisors is an integer number (4993002).

Almost surely, 2106304060 is an apocalyptic number.

106304060 is a gapful number since it is divisible by the number (10) 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 106304060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119832048).

106304060 is an abundant number, since it is smaller than the sum of its proper divisors (133360036).

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

106304060 is a wasteful number, since it uses less digits than its factorization.

106304060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 106304060 is about 10310.3860257509. The cubic root of 106304060 is about 473.7144333196.

Adding to 106304060 its reverse (60403601), we get a palindrome (166707661).

The spelling of 106304060 in words is "one hundred six million, three hundred four thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 292 340 365 730 1241 1460 2482 4283 4964 6205 8566 12410 17132 21415 24820 42830 72811 85660 145622 291244 312659 364055 625318 728110 1250636 1456220 1563295 3126590 5315203 6253180 10630406 21260812 26576015 53152030 106304060