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20141660 = 22571122941
BaseRepresentation
bin100110011010…
…1011001011100
31101220022011102
41030311121130
520124013120
61555412232
7333126020
oct114653134
941808142
1020141660
1110407800
1268b4078
134232a56
142964380
151b7cd75
hex133565c

20141660 has 144 divisors (see below), whose sum is σ = 56306880. Its totient is φ = 5913600.

The previous prime is 20141657. The next prime is 20141663. The reversal of 20141660 is 6614102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20141657) and next prime (20141663).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20141663) 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 47 ways as a sum of consecutive naturals, for example, 491240 + ... + 491280.

It is an arithmetic number, because the mean of its divisors is an integer number (391020).

Almost surely, 220141660 is an apocalyptic number.

20141660 is a gapful number since it is divisible by the number (20) 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 20141660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28153440).

20141660 is an abundant number, since it is smaller than the sum of its proper divisors (36165220).

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

20141660 is a wasteful number, since it uses less digits than its factorization.

20141660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 20141660 is about 4487.9460781074. The cubic root of 20141660 is about 272.0811284813.

Adding to 20141660 its reverse (6614102), we get a palindrome (26755762).

The spelling of 20141660 in words is "twenty million, one hundred forty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 41 44 55 58 70 77 82 110 116 121 140 145 154 164 203 205 220 242 287 290 308 319 385 406 410 451 484 574 580 605 638 770 812 820 847 902 1015 1148 1189 1210 1276 1435 1540 1595 1694 1804 2030 2233 2255 2378 2420 2870 3157 3190 3388 3509 4060 4235 4466 4510 4756 4961 5740 5945 6314 6380 7018 8323 8470 8932 9020 9922 11165 11890 12628 13079 14036 15785 16646 16940 17545 19844 22330 23780 24563 24805 26158 31570 33292 34727 35090 41615 44660 49126 49610 52316 63140 65395 69454 70180 83230 91553 98252 99220 122815 130790 138908 143869 166460 173635 183106 245630 261580 287738 347270 366212 457765 491260 575476 694540 719345 915530 1007083 1438690 1831060 2014166 2877380 4028332 5035415 10070830 20141660