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107212734 = 2344714081
BaseRepresentation
bin1100110001111…
…10111110111110
321110201222020000
412120332332332
5204421301414
614345535130
72441202366
oct630767676
9243658200
10107212734
1155578572
122baa44a6
131929a7b5
141034b9a6
15962bb09
hex663efbe

107212734 has 40 divisors (see below), whose sum is σ = 245364768. Its totient is φ = 34974720.

The previous prime is 107212733. The next prime is 107212747. The reversal of 107212734 is 437212701.

It is a happy number.

It is a super-2 number, since 2×1072127342 = 22989140663509512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 107212698 and 107212707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107212733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 574 + ... + 14654.

Almost surely, 2107212734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107212734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122682384).

107212734 is an abundant number, since it is smaller than the sum of its proper divisors (138152034).

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

107212734 is a wasteful number, since it uses less digits than its factorization.

107212734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14142 (or 14133 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 107212734 is about 10354.3582128493. The cubic root of 107212734 is about 475.0603565040.

The spelling of 107212734 in words is "one hundred seven million, two hundred twelve thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 282 423 846 1269 2538 3807 7614 14081 28162 42243 84486 126729 253458 380187 661807 760374 1140561 1323614 1985421 2281122 3970842 5956263 11912526 17868789 35737578 53606367 107212734