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10609380 = 223553759
BaseRepresentation
bin101000011110…
…001011100100
3201222000100000
4220132023210
510204000010
61015221300
7156115065
oct50361344
921860300
1010609380
115a96a91
123677830
132276052
1415a256c
15de87c0
hexa1e2e4

10609380 has 144 divisors (see below), whose sum is σ = 34856640. Its totient is φ = 2706048.

The previous prime is 10609369. The next prime is 10609399. The reversal of 10609380 is 8390601.

It is a super-2 number, since 2×106093802 = 225117887968800, which contains 22 as substring.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179791 + ... + 179849.

It is an arithmetic number, because the mean of its divisors is an integer number (242060).

Almost surely, 210609380 is an apocalyptic number.

10609380 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 10609380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428320).

10609380 is an abundant number, since it is smaller than the sum of its proper divisors (24247260).

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

10609380 is a wasteful number, since it uses less digits than its factorization.

10609380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10609380 is about 3257.2043227283. The cubic root of 10609380 is about 219.7336998242.

Adding to 10609380 its reverse (8390601), we get a palindrome (18999981).

It can be divided in two parts, 1060 and 9380, that added together give a triangular number (10440 = T144).

The spelling of 10609380 in words is "ten million, six hundred nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 59 60 74 81 90 108 111 118 135 148 162 177 180 185 222 236 243 270 295 324 333 354 370 405 444 486 531 540 555 590 666 708 740 810 885 972 999 1062 1110 1180 1215 1332 1593 1620 1665 1770 1998 2124 2183 2220 2430 2655 2997 3186 3330 3540 3996 4366 4779 4860 4995 5310 5994 6372 6549 6660 7965 8732 8991 9558 9990 10620 10915 11988 13098 14337 14985 15930 17982 19116 19647 19980 21830 23895 26196 28674 29970 31860 32745 35964 39294 43660 44955 47790 57348 58941 59940 65490 71685 78588 89910 95580 98235 117882 130980 143370 176823 179820 196470 235764 286740 294705 353646 392940 530469 589410 707292 884115 1060938 1178820 1768230 2121876 2652345 3536460 5304690 10609380