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16826340 = 22352389137
BaseRepresentation
bin100000000101…
…1111111100100
31011122212101210
41000023333210
513301420330
61400351420
7263010246
oct100137744
934585353
1016826340
119552973
125775570
133641a1b
142340096
1517258b0
hex100bfe4

16826340 has 96 divisors (see below), whose sum is σ = 50077440. Its totient is φ = 4212736.

The previous prime is 16826333. The next prime is 16826347. The reversal of 16826340 is 4362861.

It is an interprime number because it is at equal distance from previous prime (16826333) and next prime (16826347).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16826298 and 16826307.

It is not an unprimeable number, because it can be changed into a prime (16826347) 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, 122752 + ... + 122888.

It is an arithmetic number, because the mean of its divisors is an integer number (521640).

Almost surely, 216826340 is an apocalyptic number.

16826340 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 16826340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25038720).

16826340 is an abundant number, since it is smaller than the sum of its proper divisors (33251100).

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

16826340 is a wasteful number, since it uses less digits than its factorization.

16826340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 16826340 is about 4101.9921989199. The cubic root of 16826340 is about 256.2496141180.

The spelling of 16826340 in words is "sixteen million, eight hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 89 92 115 137 138 178 230 267 274 276 345 356 411 445 460 534 548 685 690 822 890 1068 1335 1370 1380 1644 1780 2047 2055 2670 2740 3151 4094 4110 5340 6141 6302 8188 8220 9453 10235 12193 12282 12604 15755 18906 20470 24386 24564 30705 31510 36579 37812 40940 47265 48772 60965 61410 63020 73158 94530 121930 122820 146316 182895 189060 243860 280439 365790 560878 731580 841317 1121756 1402195 1682634 2804390 3365268 4206585 5608780 8413170 16826340