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107506740 = 223511162889
BaseRepresentation
bin1100110100001…
…10110000110100
321111021220112010
412122012300310
5210010203430
614400124220
72443535505
oct632066064
9244256463
10107506740
1155759450
1230006670
1319371573
14103c6bac
159688cb0
hex6686c34

107506740 has 48 divisors (see below), whose sum is σ = 328386240. Its totient is φ = 26062080.

The previous prime is 107506733. The next prime is 107506753. The reversal of 107506740 is 47605701.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 107506698 and 107506707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80785 + ... + 82104.

It is an arithmetic number, because the mean of its divisors is an integer number (6841380).

Almost surely, 2107506740 is an apocalyptic number.

107506740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107506740 is an abundant number, since it is smaller than the sum of its proper divisors (220879500).

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

107506740 is a wasteful number, since it uses less digits than its factorization.

107506740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162912 (or 162910 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 107506740 is about 10368.5457032315. The cubic root of 107506740 is about 475.4942076979.

The spelling of 107506740 in words is "one hundred seven million, five hundred six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 162889 325778 488667 651556 814445 977334 1628890 1791779 1954668 2443335 3257780 3583558 4886670 5375337 7167116 8958895 9773340 10750674 17917790 21501348 26876685 35835580 53753370 107506740