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109268064 = 2532461823
BaseRepresentation
bin1101000001101…
…00110001100000
321121121101121100
412200310301200
5210433034224
614501554400
72464522533
oct640646140
9247541540
10109268064
1156751794
1230715a00
131983a179
1410724a1a
1598d5ac9
hex6834c60

109268064 has 72 divisors (see below), whose sum is σ = 311783472. Its totient is φ = 36299520.

The previous prime is 109268057. The next prime is 109268083. The reversal of 109268064 is 460862901.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132357 + ... + 133179.

It is an arithmetic number, because the mean of its divisors is an integer number (4330326).

Almost surely, 2109268064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109268064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155891736).

109268064 is an abundant number, since it is smaller than the sum of its proper divisors (202515408).

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

109268064 is a wasteful number, since it uses less digits than its factorization.

109268064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 109268064 is about 10453.1365627739. The cubic root of 109268064 is about 478.0768887127.

The spelling of 109268064 in words is "one hundred nine million, two hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 461 823 922 1383 1646 1844 2469 2766 3292 3688 4149 4938 5532 6584 7376 7407 8298 9876 11064 13168 14752 14814 16596 19752 22128 26336 29628 33192 39504 44256 59256 66384 79008 118512 132768 237024 379403 758806 1138209 1517612 2276418 3035224 3414627 4552836 6070448 6829254 9105672 12140896 13658508 18211344 27317016 36422688 54634032 109268064