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102064326 = 23713533527
BaseRepresentation
bin1100001010101…
…10000011000110
321010001101221020
412011112003012
5202112024301
614043332010
72346350430
oct605260306
9233041836
10102064326
1152681491
122a221006
13181b72c0
14d7ab650
158e61436
hex61560c6

102064326 has 64 divisors (see below), whose sum is σ = 256048128. Its totient is φ = 26402688.

The previous prime is 102064297. The next prime is 102064337. The reversal of 102064326 is 623460201.

It is a junction number, because it is equal to n+sod(n) for n = 102064296 and 102064305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27175 + ... + 30701.

It is an arithmetic number, because the mean of its divisors is an integer number (4000752).

Almost surely, 2102064326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102064326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128024064).

102064326 is an abundant number, since it is smaller than the sum of its proper divisors (153983802).

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

102064326 is a wasteful number, since it uses less digits than its factorization.

102064326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 102064326 is about 10102.6890479713. The cubic root of 102064326 is about 467.3310718745.

The spelling of 102064326 in words is "one hundred two million, sixty-four thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 53 78 91 106 159 182 273 318 371 546 689 742 1113 1378 2067 2226 3527 4134 4823 7054 9646 10581 14469 21162 24689 28938 45851 49378 74067 91702 137553 148134 186931 275106 320957 373862 560793 641914 962871 1121586 1308517 1925742 2430103 2617034 3925551 4860206 7290309 7851102 14580618 17010721 34021442 51032163 102064326