Search a number
-
+
16061220 = 2233572607
BaseRepresentation
bin111101010001…
…001100100100
31010012222212000
4331101030210
513102424340
61332125300
7253342500
oct75211444
933188760
1016061220
11908003a
125466830
1334346a6
1421c1300
151623d30
hexf51324

16061220 has 144 divisors (see below), whose sum is σ = 58222080. Its totient is φ = 3665088.

The previous prime is 16061197. The next prime is 16061233. The reversal of 16061220 is 2216061.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 16061193 and 16061202.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 26157 + ... + 26763.

It is an arithmetic number, because the mean of its divisors is an integer number (404320).

Almost surely, 216061220 is an apocalyptic number.

16061220 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 16061220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29111040).

16061220 is an abundant number, since it is smaller than the sum of its proper divisors (42160860).

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

16061220 is a wasteful number, since it uses less digits than its factorization.

16061220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 16061220 is about 4007.6451938763. The cubic root of 16061220 is about 252.3051858096.

Adding to 16061220 its reverse (2216061), we get a palindrome (18277281).

The spelling of 16061220 in words is "sixteen million, sixty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 607 630 735 756 882 945 980 1214 1260 1323 1470 1764 1821 1890 2205 2428 2646 2940 3035 3642 3780 4249 4410 5292 5463 6070 6615 7284 8498 8820 9105 10926 12140 12747 13230 16389 16996 18210 21245 21852 25494 26460 27315 29743 32778 36420 38241 42490 50988 54630 59486 63735 65556 76482 81945 84980 89229 109260 114723 118972 127470 148715 152964 163890 178458 191205 229446 254940 267687 297430 327780 356916 382410 446145 458892 535374 573615 594860 764820 803061 892290 1070748 1147230 1338435 1606122 1784580 2294460 2676870 3212244 4015305 5353740 8030610 16061220