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107230032 = 24327313167
BaseRepresentation
bin1100110010000…
…11001101010000
321110202211221200
412121003031100
5204422330112
614350151200
72441304000
oct631031520
9243684850
10107230032
115558a568
122bab2500
13192a5630
1410354000
159631cdc
hex6643350

107230032 has 240 divisors, whose sum is σ = 379142400. Its totient is φ = 28111104.

The previous prime is 107230031. The next prime is 107230049. The reversal of 107230032 is 230032701.

It is a super-2 number, since 2×1072300322 = 22996559525442048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 107229987 and 107230014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107230031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 642013 + ... + 642179.

It is an arithmetic number, because the mean of its divisors is an integer number (1579760).

Almost surely, 2107230032 is an apocalyptic number.

107230032 is a gapful number since it is divisible by the number (12) 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 107230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189571200).

107230032 is an abundant number, since it is smaller than the sum of its proper divisors (271912368).

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

107230032 is a wasteful number, since it uses less digits than its factorization.

107230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 107230032 is about 10355.1934796024. The cubic root of 107230032 is about 475.0859043154.

Adding to 107230032 its reverse (230032701), we get a palindrome (337262733).

The spelling of 107230032 in words is "one hundred seven million, two hundred thirty thousand, thirty-two".