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103142364 = 223133531873
BaseRepresentation
bin1100010010111…
…01001111011100
321012002011201120
412021131033130
5202401023424
614122410540
72361460413
oct611351734
9235064646
10103142364
1153248426
122a660a50
13184a3bb0
14d9ac47a
1590c5a79
hex625d3dc

103142364 has 48 divisors (see below), whose sum is σ = 260051232. Its totient is φ = 31629312.

The previous prime is 103142353. The next prime is 103142381. The reversal of 103142364 is 463241301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54132 + ... + 56004.

It is an arithmetic number, because the mean of its divisors is an integer number (5417734).

Almost surely, 2103142364 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 103142364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130025616).

103142364 is an abundant number, since it is smaller than the sum of its proper divisors (156908868).

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

103142364 is a wasteful number, since it uses less digits than its factorization.

103142364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2244 counting only the distinct ones).

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

The square root of 103142364 is about 10155.9029140692. The cubic root of 103142364 is about 468.9706823644.

Adding to 103142364 its reverse (463241301), we get a palindrome (566383665).

The spelling of 103142364 in words is "one hundred three million, one hundred forty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 353 706 1059 1412 1873 2118 3746 4236 4589 5619 7492 9178 11238 13767 18356 22476 24349 27534 48698 55068 73047 97396 146094 292188 661169 1322338 1983507 2644676 3967014 7934028 8595197 17190394 25785591 34380788 51571182 103142364