Search a number
-
+
16990680 = 23357113179
BaseRepresentation
bin100000011010…
…0000111011000
31011222012211110
41000310013120
513322200210
61404100320
7264263340
oct100640730
934865743
1016990680
119655393
1258346a0
13369b775
142383d20
151759420
hex10341d8

16990680 has 128 divisors (see below), whose sum is σ = 59097600. Its totient is φ = 3827712.

The previous prime is 16990679. The next prime is 16990691. The reversal of 16990680 is 8609961.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94831 + ... + 95009.

It is an arithmetic number, because the mean of its divisors is an integer number (461700).

Almost surely, 216990680 is an apocalyptic number.

16990680 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 16990680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29548800).

16990680 is an abundant number, since it is smaller than the sum of its proper divisors (42106920).

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

16990680 is a wasteful number, since it uses less digits than its factorization.

16990680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 16990680 is about 4121.9752546564. The cubic root of 16990680 is about 257.0811615656.

The spelling of 16990680 in words is "sixteen million, nine hundred ninety thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 113 120 140 168 179 210 226 280 339 358 420 452 537 565 678 716 791 840 895 904 1074 1130 1253 1356 1432 1582 1695 1790 2148 2260 2373 2506 2685 2712 3164 3390 3580 3759 3955 4296 4520 4746 5012 5370 6265 6328 6780 7160 7518 7910 9492 10024 10740 11865 12530 13560 15036 15820 18795 18984 20227 21480 23730 25060 30072 31640 37590 40454 47460 50120 60681 75180 80908 94920 101135 121362 141589 150360 161816 202270 242724 283178 303405 404540 424767 485448 566356 606810 707945 809080 849534 1132712 1213620 1415890 1699068 2123835 2427240 2831780 3398136 4247670 5663560 8495340 16990680