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102395046 = 231317314753
BaseRepresentation
bin1100001101001…
…10110010100110
321010200012121010
412012212302212
5202203120141
614054403050
72352225555
oct606466246
9233605533
10102395046
1152887a06
122a360486
13182a19b0
14d855d9c
158ec9416
hex61a6ca6

102395046 has 128 divisors (see below), whose sum is σ = 250822656. Its totient is φ = 27555840.

The previous prime is 102395039. The next prime is 102395087. The reversal of 102395046 is 640593201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1931956 + ... + 1932008.

It is an arithmetic number, because the mean of its divisors is an integer number (1959552).

Almost surely, 2102395046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102395046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125411328).

102395046 is an abundant number, since it is smaller than the sum of its proper divisors (148427610).

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

102395046 is a wasteful number, since it uses less digits than its factorization.

102395046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 102395046 is about 10119.0437295231. The cubic root of 102395046 is about 467.8352934175.

It can be divided in two parts, 1023 and 95046, that added together give a palindrome (96069).

The spelling of 102395046 in words is "one hundred two million, three hundred ninety-five thousand, forty-six".

Divisors: 1 2 3 6 13 17 26 31 34 39 47 51 53 62 78 93 94 102 106 141 159 186 221 282 318 403 442 527 611 663 689 799 806 901 1054 1209 1222 1326 1378 1457 1581 1598 1643 1802 1833 2067 2397 2418 2491 2703 2914 3162 3286 3666 4134 4371 4794 4929 4982 5406 6851 7473 8742 9858 10387 11713 13702 14946 18941 20553 20774 21359 23426 24769 27931 31161 32383 35139 37882 41106 42347 42718 49538 55862 56823 62322 64077 64766 70278 74307 77221 83793 84694 97149 113646 127041 128154 148614 154442 167586 194298 231663 254082 321997 363103 463326 550511 643994 726206 965991 1003873 1089309 1101022 1312757 1651533 1931982 2007746 2178618 2625514 3011619 3303066 3938271 6023238 7876542 17065841 34131682 51197523 102395046