Search a number
-
+
16861020 = 22351159433
BaseRepresentation
bin100000001010…
…0011101011100
31011201121222020
41000110131130
513304023040
61401220140
7263213331
oct100243534
934647866
1016861020
119576a30
125791650
133654747
14234c988
151730cd0
hex101475c

16861020 has 96 divisors (see below), whose sum is σ = 52496640. Its totient is φ = 4008960.

The previous prime is 16861003. The next prime is 16861021. The reversal of 16861020 is 2016861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16861021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38724 + ... + 39156.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 216861020 is an apocalyptic number.

16861020 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 16861020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26248320).

16861020 is an abundant number, since it is smaller than the sum of its proper divisors (35635620).

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

16861020 is a wasteful number, since it uses less digits than its factorization.

16861020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 16861020 is about 4106.2172373122. The cubic root of 16861020 is about 256.4255414290.

Adding to 16861020 its reverse (2016861), we get a palindrome (18877881).

The spelling of 16861020 in words is "sixteen million, eight hundred sixty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 132 165 177 220 236 295 330 354 433 590 649 660 708 866 885 1180 1298 1299 1732 1770 1947 2165 2596 2598 3245 3540 3894 4330 4763 5196 6490 6495 7788 8660 9526 9735 12980 12990 14289 19052 19470 23815 25547 25980 28578 38940 47630 51094 57156 71445 76641 95260 102188 127735 142890 153282 255470 281017 285780 306564 383205 510940 562034 766410 843051 1124068 1405085 1532820 1686102 2810170 3372204 4215255 5620340 8430510 16861020