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107067732 = 2238922311
BaseRepresentation
bin1100110000110…
…11100101010100
321110110121022120
412120123211110
5204402131412
614342455540
72440026552
oct630334524
9243417276
10107067732
1155489632
122ba345b0
13192497b5
1410310bd2
1595edb8c
hex661b954

107067732 has 12 divisors (see below), whose sum is σ = 249824736. Its totient is φ = 35689240.

The previous prime is 107067661. The next prime is 107067733. The reversal of 107067732 is 237760701.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×1070677322 = 22926998471247648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 107067693 and 107067702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107067733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4461144 + ... + 4461167.

It is an arithmetic number, because the mean of its divisors is an integer number (20818728).

Almost surely, 2107067732 is an apocalyptic number.

107067732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107067732 is an abundant number, since it is smaller than the sum of its proper divisors (142757004).

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

107067732 is a wasteful number, since it uses less digits than its factorization.

107067732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8922318 (or 8922316 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 107067732 is about 10347.3538646361. The cubic root of 107067732 is about 474.8460915953.

The spelling of 107067732 in words is "one hundred seven million, sixty-seven thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 12 8922311 17844622 26766933 35689244 53533866 107067732