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16291140 = 22354753109
BaseRepresentation
bin111110001001…
…010101000100
31010122200020120
4332021111010
513132304030
61341101540
7255321015
oct76112504
933580216
1016291140
119217858
1255578b0
1334b5238
14224100c
15166c010
hexf89544

16291140 has 96 divisors (see below), whose sum is σ = 47900160. Its totient is φ = 4133376.

The previous prime is 16291123. The next prime is 16291147. The reversal of 16291140 is 4119261.

16291140 = T809 + T810 + ... + T855.

It is a self number, because there is not a number n which added to its sum of digits gives 16291140.

It is not an unprimeable number, because it can be changed into a prime (16291147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149406 + ... + 149514.

It is an arithmetic number, because the mean of its divisors is an integer number (498960).

Almost surely, 216291140 is an apocalyptic number.

16291140 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 16291140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23950080).

16291140 is an abundant number, since it is smaller than the sum of its proper divisors (31609020).

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

16291140 is a wasteful number, since it uses less digits than its factorization.

16291140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 16291140 is about 4036.2284375392. The cubic root of 16291140 is about 253.5034214805.

The spelling of 16291140 in words is "sixteen million, two hundred ninety-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 53 60 94 106 109 141 159 188 212 218 235 265 282 318 327 436 470 530 545 564 636 654 705 795 940 1060 1090 1308 1410 1590 1635 2180 2491 2820 3180 3270 4982 5123 5777 6540 7473 9964 10246 11554 12455 14946 15369 17331 20492 23108 24910 25615 28885 29892 30738 34662 37365 49820 51230 57770 61476 69324 74730 76845 86655 102460 115540 149460 153690 173310 271519 307380 346620 543038 814557 1086076 1357595 1629114 2715190 3258228 4072785 5430380 8145570 16291140