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102102408 = 23321783417
BaseRepresentation
bin1100001010111…
…11010110001000
321010010100011200
412011133112020
5202114234113
614044224200
72346566442
oct605372610
9233110150
10102102408
11526a8061
122a23b060
13181cb735
14d7bb492
158e6c873
hex615f588

102102408 has 48 divisors (see below), whose sum is σ = 292797180. Its totient is φ = 32031744.

The previous prime is 102102383. The next prime is 102102419. The reversal of 102102408 is 804201201.

It can be written as a sum of positive squares in 2 ways, for example, as 100761444 + 1340964 = 10038^2 + 1158^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 40485 + ... + 42932.

Almost surely, 2102102408 is an apocalyptic number.

102102408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102102408 is an abundant number, since it is smaller than the sum of its proper divisors (190694772).

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

102102408 is a wasteful number, since it uses less digits than its factorization.

102102408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83446 (or 83439 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 102102408 is about 10104.5736179217. The cubic root of 102102408 is about 467.3891878019.

Adding to 102102408 its reverse (804201201), we get a palindrome (906303609).

The spelling of 102102408 in words is "one hundred two million, one hundred two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 83417 166834 250251 333668 500502 667336 750753 1001004 1418089 1501506 2002008 2836178 3003012 4254267 5672356 6006024 8508534 11344712 12762801 17017068 25525602 34034136 51051204 102102408