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102025980 = 2235572999
BaseRepresentation
bin1100001010011…
…00101011111100
321002222110100000
412011030223330
5202104312410
614042434300
72346130560
oct605145374
9232873300
10102025980
11526556a1
122a202990
13181a2a04
14d79b6a0
158e54dc0
hex614cafc

102025980 has 144 divisors (see below), whose sum is σ = 366912000. Its totient is φ = 23312448.

The previous prime is 102025961. The next prime is 102025997. The reversal of 102025980 is 89520201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32521 + ... + 35519.

It is an arithmetic number, because the mean of its divisors is an integer number (2548000).

Almost surely, 2102025980 is an apocalyptic number.

102025980 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 102025980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183456000).

102025980 is an abundant number, since it is smaller than the sum of its proper divisors (264886020).

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

102025980 is a wasteful number, since it uses less digits than its factorization.

102025980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 102025980 is about 10100.7910581301. The cubic root of 102025980 is about 467.2725384551.

It can be divided in two parts, 1020 and 25980, that added together give a cube (27000 = 303).

The spelling of 102025980 in words is "one hundred two million, twenty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 2999 3402 3780 4860 5670 5998 6804 8505 8997 11340 11996 14995 17010 17994 20993 26991 29990 34020 35988 41986 44985 53982 59980 62979 80973 83972 89970 104965 107964 125958 134955 161946 179940 188937 209930 242919 251916 269910 314895 323892 377874 404865 419860 485838 539820 566811 629790 728757 755748 809730 944685 971676 1133622 1214595 1259580 1457514 1619460 1700433 1889370 2267244 2429190 2834055 2915028 3400866 3643785 3778740 4858380 5101299 5668110 6801732 7287570 8502165 10202598 11336220 14575140 17004330 20405196 25506495 34008660 51012990 102025980