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106363650 = 23521494759
BaseRepresentation
bin1100101011011…
…11101100000010
321102010211111110
412111233230002
5204212114100
614315424150
72431035051
oct625575402
9242124443
10106363650
1155048648
122b755056
1319061193
14101aa398
159510250
hex656fb02

106363650 has 48 divisors (see below), whose sum is σ = 265608000. Its totient is φ = 28167360.

The previous prime is 106363637. The next prime is 106363657. The reversal of 106363650 is 56363601.

It is a super-2 number, since 2×1063636502 = 22626452082645000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106363657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19971 + ... + 24729.

It is an arithmetic number, because the mean of its divisors is an integer number (5533500).

Almost surely, 2106363650 is an apocalyptic number.

106363650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106363650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132804000).

106363650 is an abundant number, since it is smaller than the sum of its proper divisors (159244350).

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

106363650 is a wasteful number, since it uses less digits than its factorization.

106363650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4923 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 106363650 is about 10313.2754253923. The cubic root of 106363650 is about 473.8029321976.

The spelling of 106363650 in words is "one hundred six million, three hundred sixty-three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 149 150 298 447 745 894 1490 2235 3725 4470 4759 7450 9518 11175 14277 22350 23795 28554 47590 71385 118975 142770 237950 356925 709091 713850 1418182 2127273 3545455 4254546 7090910 10636365 17727275 21272730 35454550 53181825 106363650