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102482380 = 225711135119
BaseRepresentation
bin1100001101111…
…00000111001100
321010211122101201
412012330013030
5202213414010
614100315244
72353041310
oct606740714
9233748351
10102482380
1152937590
122a3a2b24
1318302680
14d879b40
158ee523a
hex61bc1cc

102482380 has 96 divisors (see below), whose sum is σ = 289013760. Its totient is φ = 29479680.

The previous prime is 102482363. The next prime is 102482383. The reversal of 102482380 is 83284201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (102482383) 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, 17461 + ... + 22579.

It is an arithmetic number, because the mean of its divisors is an integer number (3010560).

Almost surely, 2102482380 is an apocalyptic number.

102482380 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 102482380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144506880).

102482380 is an abundant number, since it is smaller than the sum of its proper divisors (186531380).

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

102482380 is a wasteful number, since it uses less digits than its factorization.

102482380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5159 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 102482380 is about 10123.3581384835. The cubic root of 102482380 is about 467.9682631217.

The spelling of 102482380 in words is "one hundred two million, four hundred eighty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 5119 10010 10238 20020 20476 25595 35833 51190 56309 66547 71666 102380 112618 133094 143332 179165 225236 266188 281545 332735 358330 394163 465829 563090 665470 716660 732017 788326 931658 1126180 1330940 1464034 1576652 1863316 1970815 2329145 2928068 3660085 3941630 4658290 5124119 7320170 7883260 9316580 10248238 14640340 20496476 25620595 51241190 102482380