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102739320 = 23335251379
BaseRepresentation
bin1100001111110…
…10110101111000
321011022200212000
412013322311320
5202300124240
614110021000
72355161355
oct607726570
9234280760
10102739320
1152aa2632
122a4a7760
13183925c8
14d90562c
159046430
hex61fad78

102739320 has 128 divisors (see below), whose sum is σ = 344736000. Its totient is φ = 27216000.

The previous prime is 102739303. The next prime is 102739331. The reversal of 102739320 is 23937201.

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 31 ways as a sum of consecutive naturals, for example, 270891 + ... + 271269.

It is an arithmetic number, because the mean of its divisors is an integer number (2693250).

Almost surely, 2102739320 is an apocalyptic number.

102739320 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 102739320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368000).

102739320 is an abundant number, since it is smaller than the sum of its proper divisors (241996680).

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

102739320 is a wasteful number, since it uses less digits than its factorization.

102739320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 102739320 is about 10136.0406471166. The cubic root of 102739320 is about 468.3590275906.

The spelling of 102739320 in words is "one hundred two million, seven hundred thirty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 251 270 360 379 502 540 753 758 1004 1080 1137 1255 1506 1516 1895 2008 2259 2274 2510 3012 3032 3411 3765 3790 4518 4548 5020 5685 6024 6777 6822 7530 7580 9036 9096 10040 10233 11295 11370 13554 13644 15060 15160 17055 18072 20466 22590 22740 27108 27288 30120 33885 34110 40932 45180 45480 51165 54216 67770 68220 81864 90360 95129 102330 135540 136440 190258 204660 271080 285387 380516 409320 475645 570774 761032 856161 951290 1141548 1426935 1712322 1902580 2283096 2568483 2853870 3424644 3805160 4280805 5136966 5707740 6849288 8561610 10273932 11415480 12842415 17123220 20547864 25684830 34246440 51369660 102739320