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107064678 = 23723137809
BaseRepresentation
bin1100110000110…
…10110101100110
321110110110010110
412120122311212
5204402032203
614342433450
72440014630
oct630326546
9243413113
10107064678
1155487306
122ba32886
13192482a6
141030da50
1595ecd03
hex661ad66

107064678 has 64 divisors (see below), whose sum is σ = 257541120. Its totient is φ = 29010432.

The previous prime is 107064673. The next prime is 107064697. The reversal of 107064678 is 876460701.

It is a super-2 number, since 2×1070646782 = 22925690550487368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107064673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131938 + ... + 132746.

It is an arithmetic number, because the mean of its divisors is an integer number (4024080).

Almost surely, 2107064678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107064678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128770560).

107064678 is an abundant number, since it is smaller than the sum of its proper divisors (150476442).

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

107064678 is a wasteful number, since it uses less digits than its factorization.

107064678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981.

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 107064678 is about 10347.2062896223. The cubic root of 107064678 is about 474.8415767157.

The spelling of 107064678 in words is "one hundred seven million, sixty-four thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 137 138 161 274 322 411 483 809 822 959 966 1618 1918 2427 2877 3151 4854 5663 5754 6302 9453 11326 16989 18607 18906 22057 33978 37214 44114 55821 66171 110833 111642 130249 132342 221666 260498 332499 390747 664998 775831 781494 1551662 2327493 2549159 4654986 5098318 7647477 15294954 17844113 35688226 53532339 107064678