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140205660 = 223572103463
BaseRepresentation
bin10000101101101…
…01111001011100
3100202211012000020
420112311321130
5241343040120
621525032140
73321504600
oct1026657134
9322735006
10140205660
1172162651
123ab55650
132307cb3a
1414899500
15c497640
hex85b5e5c

140205660 has 144 divisors (see below), whose sum is σ = 462099456. Its totient is φ = 31667328.

The previous prime is 140205641. The next prime is 140205673. The reversal of 140205660 is 66502041.

It is a self number, because there is not a number n which added to its sum of digits gives 140205660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302589 + ... + 303051.

It is an arithmetic number, because the mean of its divisors is an integer number (3209024).

Almost surely, 2140205660 is an apocalyptic number.

140205660 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 140205660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231049728).

140205660 is an abundant number, since it is smaller than the sum of its proper divisors (321893796).

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

140205660 is a wasteful number, since it uses less digits than its factorization.

140205660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 140205660 is about 11840.8470980754. The cubic root of 140205660 is about 519.5035449123.

The spelling of 140205660 in words is "one hundred forty million, two hundred five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 103 105 140 147 196 206 210 245 294 309 412 420 463 490 515 588 618 721 735 926 980 1030 1236 1389 1442 1470 1545 1852 2060 2163 2315 2778 2884 2940 3090 3241 3605 4326 4630 5047 5556 6180 6482 6945 7210 8652 9260 9723 10094 10815 12964 13890 14420 15141 16205 19446 20188 21630 22687 25235 27780 30282 32410 38892 43260 45374 47689 48615 50470 60564 64820 68061 75705 90748 95378 97230 100940 113435 136122 143067 151410 190756 194460 226870 238445 272244 286134 302820 333823 340305 453740 476890 572268 667646 680610 715335 953780 1001469 1335292 1361220 1430670 1669115 2002938 2336761 2861340 3338230 4005876 4673522 5007345 6676460 7010283 9347044 10014690 11683805 14020566 20029380 23367610 28041132 35051415 46735220 70102830 140205660