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103867064 = 23722571031
BaseRepresentation
bin1100011000011…
…10001010111000
321020102222211022
412030032022320
5203042221224
614150122012
72400566300
oct614161270
9236388738
10103867064
11536a2954
122a950308
1318698a02
14db1a600
1591ba65e
hex630e2b8

103867064 has 48 divisors (see below), whose sum is σ = 227648880. Its totient is φ = 44298240.

The previous prime is 103867061. The next prime is 103867069. The reversal of 103867064 is 460768301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103867061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100229 + ... + 101259.

It is an arithmetic number, because the mean of its divisors is an integer number (4742685).

Almost surely, 2103867064 is an apocalyptic number.

103867064 is a gapful number since it is divisible by the number (14) 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 103867064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113824440).

103867064 is an abundant number, since it is smaller than the sum of its proper divisors (123781816).

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

103867064 is a wasteful number, since it uses less digits than its factorization.

103867064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 103867064 is about 10191.5192194295. The cubic root of 103867064 is about 470.0664822207.

The spelling of 103867064 in words is "one hundred three million, eight hundred sixty-seven thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 257 392 514 1028 1031 1799 2056 2062 3598 4124 7196 7217 8248 12593 14392 14434 25186 28868 50372 50519 57736 100744 101038 202076 264967 404152 529934 1059868 1854769 2119736 3709538 7419076 12983383 14838152 25966766 51933532 103867064