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16868040 = 2335743467
BaseRepresentation
bin100000001011…
…0001011001000
31011201222121020
41000112023020
513304234130
61401312440
7263242650
oct100261310
934658536
1016868040
119581232
125795720
1336579b7
142351360
151732e10
hex10162c8

16868040 has 128 divisors (see below), whose sum is σ = 59304960. Its totient is φ = 3757824.

The previous prime is 16868023. The next prime is 16868069. The reversal of 16868040 is 4086861.

16868040 = T125 + T126 + ... + T468.

It is a junction number, because it is equal to n+sod(n) for n = 16867992 and 16868010.

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, 35887 + ... + 36353.

It is an arithmetic number, because the mean of its divisors is an integer number (463320).

Almost surely, 216868040 is an apocalyptic number.

16868040 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 16868040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29652480).

16868040 is an abundant number, since it is smaller than the sum of its proper divisors (42436920).

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

16868040 is a wasteful number, since it uses less digits than its factorization.

16868040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 16868040 is about 4107.0719496985. The cubic root of 16868040 is about 256.4611236483.

The spelling of 16868040 in words is "sixteen million, eight hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 43 56 60 70 84 86 105 120 129 140 168 172 210 215 258 280 301 344 420 430 467 516 602 645 840 860 903 934 1032 1204 1290 1401 1505 1720 1806 1868 2335 2408 2580 2802 3010 3269 3612 3736 4515 4670 5160 5604 6020 6538 7005 7224 9030 9340 9807 11208 12040 13076 14010 16345 18060 18680 19614 20081 26152 28020 32690 36120 39228 40162 49035 56040 60243 65380 78456 80324 98070 100405 120486 130760 140567 160648 196140 200810 240972 281134 301215 392280 401620 421701 481944 562268 602430 702835 803240 843402 1124536 1204860 1405670 1686804 2108505 2409720 2811340 3373608 4217010 5622680 8434020 16868040