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16864980 = 223511223101
BaseRepresentation
bin100000001010…
…1011011010100
31011201211101220
41000111123110
513304134410
61401250340
7263231016
oct100253324
934654356
1016864980
119579a00
1257939b0
1336564a2
1423501b6
151732070
hex10156d4

16864980 has 144 divisors (see below), whose sum is σ = 54698112. Its totient is φ = 3872000.

The previous prime is 16864943. The next prime is 16864993. The reversal of 16864980 is 8946861.

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, 166930 + ... + 167030.

It is an arithmetic number, because the mean of its divisors is an integer number (379848).

Almost surely, 216864980 is an apocalyptic number.

16864980 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 16864980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27349056).

16864980 is an abundant number, since it is smaller than the sum of its proper divisors (37833132).

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

16864980 is a wasteful number, since it uses less digits than its factorization.

16864980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 16864980 is about 4106.6994046314. The cubic root of 16864980 is about 256.4456146641.

It can be divided in two parts, 1686 and 4980, that added together give a palindrome (6666).

The spelling of 16864980 in words is "sixteen million, eight hundred sixty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 101 110 115 121 132 138 165 202 220 230 242 253 276 303 330 345 363 404 460 484 505 506 605 606 660 690 726 759 1010 1012 1111 1210 1212 1265 1380 1452 1515 1518 1815 2020 2222 2323 2420 2530 2783 3030 3036 3333 3630 3795 4444 4646 5060 5555 5566 6060 6666 6969 7260 7590 8349 9292 11110 11132 11615 12221 13332 13915 13938 15180 16665 16698 22220 23230 24442 25553 27830 27876 33330 33396 34845 36663 41745 46460 48884 51106 55660 61105 66660 69690 73326 76659 83490 102212 122210 127765 139380 146652 153318 166980 183315 244420 255530 281083 306636 366630 383295 511060 562166 733260 766590 843249 1124332 1405415 1533180 1686498 2810830 3372996 4216245 5621660 8432490 16864980