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10068660 = 22325761131
BaseRepresentation
bin100110011010…
…001010110100
3200221112121100
4212122022310
510034144120
6555450100
7151403460
oct46321264
920845540
1010068660
115757808
123456930
132116bb4
1414a14a0
15d3d490
hex99a2b4

10068660 has 144 divisors (see below), whose sum is σ = 35747712. Its totient is φ = 2246400.

The previous prime is 10068649. The next prime is 10068661. The reversal of 10068660 is 6686001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10068661) by changing a digit.

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, 76795 + ... + 76925.

It is an arithmetic number, because the mean of its divisors is an integer number (248248).

Almost surely, 210068660 is an apocalyptic number.

10068660 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 10068660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17873856).

10068660 is an abundant number, since it is smaller than the sum of its proper divisors (25679052).

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

10068660 is a wasteful number, since it uses less digits than its factorization.

10068660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10068660 is about 3173.1151885805. The cubic root of 10068660 is about 215.9354230824.

The spelling of 10068660 in words is "ten million, sixty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 61 63 70 84 90 105 122 126 131 140 180 183 210 244 252 262 305 315 366 393 420 427 524 549 610 630 655 732 786 854 915 917 1098 1179 1220 1260 1281 1310 1572 1708 1830 1834 1965 2135 2196 2358 2562 2620 2745 2751 3660 3668 3843 3930 4270 4585 4716 5124 5490 5502 5895 6405 7686 7860 7991 8253 8540 9170 10980 11004 11790 12810 13755 15372 15982 16506 18340 19215 23580 23973 25620 27510 31964 33012 38430 39955 41265 47946 55020 55937 71919 76860 79910 82530 95892 111874 119865 143838 159820 165060 167811 223748 239730 279685 287676 335622 359595 479460 503433 559370 671244 719190 839055 1006866 1118740 1438380 1678110 2013732 2517165 3356220 5034330 10068660