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3728111220 = 22325171964123
BaseRepresentation
bin1101111000110110…
…0111011001110100
3100121211002200011100
43132031213121310
530113344024340
61413534210100
7161246264631
oct33615473164
910554080140
103728111220
111643470159
12880653930
134754b6c92
142751bb188
1516c46a830
hexde367674

3728111220 has 144 divisors (see below), whose sum is σ = 12604213440. Its totient is φ = 886422528.

The previous prime is 3728111161. The next prime is 3728111287. The reversal of 3728111220 is 221118273.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26079 + ... + 90201.

It is an arithmetic number, because the mean of its divisors is an integer number (87529260).

Almost surely, 23728111220 is an apocalyptic number.

3728111220 is a gapful number since it is divisible by the number (30) 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 3728111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6302106720).

3728111220 is an abundant number, since it is smaller than the sum of its proper divisors (8876102220).

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

3728111220 is a wasteful number, since it uses less digits than its factorization.

3728111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64174 (or 64169 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 3728111220 is about 61058.2608661596. The cubic root of 3728111220 is about 1550.5875289161.

Adding to 3728111220 its reverse (221118273), we get a palindrome (3949229493).

The spelling of 3728111220 in words is "three billion, seven hundred twenty-eight million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 19 20 30 34 36 38 45 51 57 60 68 76 85 90 95 102 114 153 170 171 180 190 204 228 255 285 306 323 340 342 380 510 570 612 646 684 765 855 969 1020 1140 1292 1530 1615 1710 1938 2907 3060 3230 3420 3876 4845 5814 6460 9690 11628 14535 19380 29070 58140 64123 128246 192369 256492 320615 384738 577107 641230 769476 961845 1090091 1154214 1218337 1282460 1923690 2180182 2308428 2436674 2885535 3270273 3655011 3847380 4360364 4873348 5450455 5771070 6091685 6540546 7310022 9810819 10900910 10965033 11542140 12183370 13081092 14620044 16351365 18275055 19621638 20711729 21801820 21930066 24366740 32702730 36550110 39243276 41423458 43860132 49054095 54825165 62135187 65405460 73100220 82846916 98108190 103558645 109650330 124270374 186405561 196216380 207117290 219300660 248540748 310675935 372811122 414234580 621351870 745622244 932027805 1242703740 1864055610 3728111220