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102013340 = 225111353673
BaseRepresentation
bin1100001010010…
…01100110011100
321002221210222212
412011021212130
5202103411330
614042255552
72346045662
oct605114634
9232853885
10102013340
1152647150
122a1b75b8
131819a030
14d796c32
158e51295
hex614999c

102013340 has 96 divisors (see below), whose sum is σ = 256810176. Its totient is φ = 33546240.

The previous prime is 102013259. The next prime is 102013361. The reversal of 102013340 is 43310201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151244 + ... + 151916.

It is an arithmetic number, because the mean of its divisors is an integer number (2675106).

Almost surely, 2102013340 is an apocalyptic number.

102013340 is a gapful number since it is divisible by the number (10) 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 102013340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128405088).

102013340 is an abundant number, since it is smaller than the sum of its proper divisors (154796836).

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

102013340 is a wasteful number, since it uses less digits than its factorization.

102013340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 102013340 is about 10100.1653451812. The cubic root of 102013340 is about 467.2532408578.

Adding to 102013340 its reverse (43310201), we get a palindrome (145323541).

The spelling of 102013340 in words is "one hundred two million, thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 53 55 65 106 110 130 143 212 220 260 265 286 530 572 583 673 689 715 1060 1166 1346 1378 1430 2332 2692 2756 2860 2915 3365 3445 5830 6730 6890 7403 7579 8749 11660 13460 13780 14806 15158 17498 29612 30316 34996 35669 37015 37895 43745 71338 74030 75790 87490 96239 142676 148060 151580 174980 178345 192478 356690 384956 392359 463697 481195 713380 784718 927394 962390 1569436 1854788 1924780 1961795 2318485 3923590 4636970 5100667 7847180 9273940 10201334 20402668 25503335 51006670 102013340