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107065856 = 29792647
BaseRepresentation
bin1100110000110…
…11001000000000
321110110111202002
412120123020000
5204402101411
614342443132
72440021232
oct630331000
9243414662
10107065856
1155488187
122ba334a8
13192489a1
1410310252
1595ed33b
hex661b200

107065856 has 40 divisors (see below), whose sum is σ = 216712320. Its totient is φ = 52835328.

The previous prime is 107065853. The next prime is 107065873. The reversal of 107065856 is 658560701.

It is a happy number.

It is a super-2 number, since 2×1070658562 = 22926195042025472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107065853) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39125 + ... + 41771.

It is an arithmetic number, because the mean of its divisors is an integer number (5417808).

Almost surely, 2107065856 is an apocalyptic number.

107065856 is a gapful number since it is divisible by the number (16) 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 107065856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108356160).

107065856 is an abundant number, since it is smaller than the sum of its proper divisors (109646464).

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

107065856 is an frugal number, since it uses more digits than its factorization.

107065856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 107065856 is about 10347.2632130433. The cubic root of 107065856 is about 474.8433182216.

The spelling of 107065856 in words is "one hundred seven million, sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 512 632 1264 2528 2647 5056 5294 10112 10588 20224 21176 40448 42352 84704 169408 209113 338816 418226 677632 836452 1355264 1672904 3345808 6691616 13383232 26766464 53532928 107065856