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102253060 = 225713192957
BaseRepresentation
bin1100001100001…
…00001000000100
321010101222211101
412012010020010
5202134044220
614051345444
72351064610
oct606041004
9233358741
10102253060
11527a0268
122a2b2284
1318252190
14d81a340
158e9c30a
hex6184204

102253060 has 96 divisors (see below), whose sum is σ = 278288640. Its totient is φ = 30647808.

The previous prime is 102253051. The next prime is 102253061. The reversal of 102253060 is 60352201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (102253061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33102 + ... + 36058.

It is an arithmetic number, because the mean of its divisors is an integer number (2898840).

Almost surely, 2102253060 is an apocalyptic number.

102253060 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 102253060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139144320).

102253060 is an abundant number, since it is smaller than the sum of its proper divisors (176035580).

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

102253060 is a wasteful number, since it uses less digits than its factorization.

102253060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 102253060 is about 10112.0255142083. The cubic root of 102253060 is about 467.6189522582.

The spelling of 102253060 in words is "one hundred two million, two hundred fifty-three thousand, sixty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 52 65 70 76 91 95 130 133 140 182 190 247 260 266 364 380 455 494 532 665 910 988 1235 1330 1729 1820 2470 2660 2957 3458 4940 5914 6916 8645 11828 14785 17290 20699 29570 34580 38441 41398 56183 59140 76882 82796 103495 112366 153764 192205 206990 224732 269087 280915 384410 393281 413980 538174 561830 730379 768820 786562 1076348 1123660 1345435 1460758 1573124 1966405 2690870 2921516 3651895 3932810 5112653 5381740 7303790 7865620 10225306 14607580 20450612 25563265 51126530 102253060