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102445280 = 2557273179
BaseRepresentation
bin1100001101100…
…11000011100000
321010202202111122
412012303003200
5202211222110
614055431412
72352525200
oct606630340
9233682448
10102445280
1152911723
122a385568
13182bb812
14d86a400
158ed9255
hex61b30e0

102445280 has 144 divisors (see below), whose sum is σ = 286992720. Its totient is φ = 34449408.

The previous prime is 102445271. The next prime is 102445303. The reversal of 102445280 is 82544201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572231 + ... + 572409.

It is an arithmetic number, because the mean of its divisors is an integer number (1993005).

Almost surely, 2102445280 is an apocalyptic number.

102445280 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 102445280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143496360).

102445280 is an abundant number, since it is smaller than the sum of its proper divisors (184547440).

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

102445280 is a wasteful number, since it uses less digits than its factorization.

102445280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 102445280 is about 10121.5255767103. The cubic root of 102445280 is about 467.9117860374.

Adding to 102445280 its reverse (82544201), we get a palindrome (184989481).

The spelling of 102445280 in words is "one hundred two million, four hundred forty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 73 80 98 112 140 146 160 179 196 224 245 280 292 358 365 392 490 511 560 584 716 730 784 895 980 1022 1120 1168 1253 1432 1460 1568 1790 1960 2044 2336 2506 2555 2864 2920 3577 3580 3920 4088 5012 5110 5728 5840 6265 7154 7160 7840 8176 8771 10024 10220 11680 12530 13067 14308 14320 16352 17542 17885 20048 20440 25060 26134 28616 28640 35084 35770 40096 40880 43855 50120 52268 57232 65335 70168 71540 81760 87710 91469 100240 104536 114464 130670 140336 143080 175420 182938 200480 209072 261340 280672 286160 350840 365876 418144 457345 522680 572320 640283 701680 731752 914690 1045360 1280566 1403360 1463504 1829380 2090720 2561132 2927008 3201415 3658760 5122264 6402830 7317520 10244528 12805660 14635040 20489056 25611320 51222640 102445280