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102402020 = 225719137281
BaseRepresentation
bin1100001101010…
…00011111100100
321010200120011102
412012220133210
5202203331040
614054455232
72352255110
oct606503744
9233616142
10102402020
1152892176
122a364518
13182a4c16
14d858740
158ecb515
hex61a87e4

102402020 has 96 divisors (see below), whose sum is σ = 261515520. Its totient is φ = 32901120.

The previous prime is 102402011. The next prime is 102402023. The reversal of 102402020 is 20204201.

It is a junction number, because it is equal to n+sod(n) for n = 102401992 and 102402010.

It is not an unprimeable number, because it can be changed into a prime (102402023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 364280 + ... + 364560.

It is an arithmetic number, because the mean of its divisors is an integer number (2724120).

Almost surely, 2102402020 is an apocalyptic number.

102402020 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 102402020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130757760).

102402020 is an abundant number, since it is smaller than the sum of its proper divisors (159113500).

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

102402020 is a wasteful number, since it uses less digits than its factorization.

102402020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 102402020 is about 10119.3883214352. The cubic root of 102402020 is about 467.8459144042.

Adding to 102402020 its reverse (20204201), we get a palindrome (122606221).

The spelling of 102402020 in words is "one hundred two million, four hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 137 140 190 266 274 281 380 532 548 562 665 685 959 1124 1330 1370 1405 1918 1967 2603 2660 2740 2810 3836 3934 4795 5206 5339 5620 7868 9590 9835 10412 10678 13015 18221 19180 19670 21356 26030 26695 36442 37373 38497 39340 52060 53390 72884 74746 76994 91105 106780 149492 153988 182210 186865 192485 269479 364420 373730 384970 538958 731443 747460 769940 1077916 1347395 1462886 2694790 2925772 3657215 5120101 5389580 7314430 10240202 14628860 20480404 25600505 51201010 102402020