Search a number
-
+
16281240 = 23351723347
BaseRepresentation
bin111110000110…
…111010011000
31010122011122220
4332012322120
513131444430
61340544040
7255250113
oct76067230
933564586
1016281240
119210378
125552020
1334b0891
14223b57a
151669110
hexf86e98

16281240 has 128 divisors (see below), whose sum is σ = 54120960. Its totient is φ = 3897344.

The previous prime is 16281191. The next prime is 16281247. The reversal of 16281240 is 4218261.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 16281240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16281247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46747 + ... + 47093.

It is an arithmetic number, because the mean of its divisors is an integer number (422820).

Almost surely, 216281240 is an apocalyptic number.

16281240 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 16281240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27060480).

16281240 is an abundant number, since it is smaller than the sum of its proper divisors (37839720).

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

16281240 is a wasteful number, since it uses less digits than its factorization.

16281240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 16281240 is about 4035.0018587356. The cubic root of 16281240 is about 253.4520603845.

The spelling of 16281240 in words is "sixteen million, two hundred eighty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 23 24 30 34 40 46 51 60 68 69 85 92 102 115 120 136 138 170 184 204 230 255 276 340 345 347 391 408 460 510 552 680 690 694 782 920 1020 1041 1173 1380 1388 1564 1735 1955 2040 2082 2346 2760 2776 3128 3470 3910 4164 4692 5205 5865 5899 6940 7820 7981 8328 9384 10410 11730 11798 13880 15640 15962 17697 20820 23460 23596 23943 29495 31924 35394 39905 41640 46920 47192 47886 58990 63848 70788 79810 88485 95772 117980 119715 135677 141576 159620 176970 191544 235960 239430 271354 319240 353940 407031 478860 542708 678385 707880 814062 957720 1085416 1356770 1628124 2035155 2713540 3256248 4070310 5427080 8140620 16281240