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102540620 = 225713103547
BaseRepresentation
bin1100001110010…
…10010101001100
321010221121021202
412013022111030
5202222244440
614101445032
72353403150
oct607122514
9233847252
10102540620
1152977316
122a410778
1318323030
14d893060
159007615
hex61ca54c

102540620 has 96 divisors (see below), whose sum is σ = 268090368. Its totient is φ = 32078592.

The previous prime is 102540611. The next prime is 102540623. The reversal of 102540620 is 26045201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102540592 and 102540601.

It is not an unprimeable number, because it can be changed into a prime (102540623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187187 + ... + 187733.

It is an arithmetic number, because the mean of its divisors is an integer number (2792608).

Almost surely, 2102540620 is an apocalyptic number.

102540620 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 102540620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134045184).

102540620 is an abundant number, since it is smaller than the sum of its proper divisors (165549748).

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

102540620 is a wasteful number, since it uses less digits than its factorization.

102540620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 102540620 is about 10126.2342457599. The cubic root of 102540620 is about 468.0568940012.

Adding to 102540620 its reverse (26045201), we get a palindrome (128585821).

The spelling of 102540620 in words is "one hundred two million, five hundred forty thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 103 130 140 182 206 260 364 412 455 515 547 721 910 1030 1094 1339 1442 1820 2060 2188 2678 2735 2884 3605 3829 5356 5470 6695 7111 7210 7658 9373 10940 13390 14222 14420 15316 18746 19145 26780 28444 35555 37492 38290 46865 49777 56341 71110 76580 93730 99554 112682 142220 187460 199108 225364 248885 281705 394387 497770 563410 732433 788774 995540 1126820 1464866 1577548 1971935 2929732 3662165 3943870 5127031 7324330 7887740 10254062 14648660 20508124 25635155 51270310 102540620