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20319660 = 2235537113
BaseRepresentation
bin100110110000…
…0110110101100
31102020100100000
41031200312230
520200212120
62003304300
7334466664
oct115406654
942210300
1020319660
1110519509
12697b090
134295a8a
1429ad1a4
151bb5990
hex1360dac

20319660 has 144 divisors (see below), whose sum is σ = 66227616. Its totient is φ = 5225472.

The previous prime is 20319631. The next prime is 20319667. The reversal of 20319660 is 6691302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20319667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179764 + ... + 179876.

It is an arithmetic number, because the mean of its divisors is an integer number (459914).

Almost surely, 220319660 is an apocalyptic number.

20319660 is a gapful number since it is divisible by the number (20) 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 20319660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33113808).

20319660 is an abundant number, since it is smaller than the sum of its proper divisors (45907956).

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

20319660 is a wasteful number, since it uses less digits than its factorization.

20319660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 20319660 is about 4507.7333550245. The cubic root of 20319660 is about 272.8802759655.

The spelling of 20319660 in words is "twenty million, three hundred nineteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 81 90 108 111 113 135 148 162 180 185 222 226 243 270 324 333 339 370 405 444 452 486 540 555 565 666 678 740 810 972 999 1017 1110 1130 1215 1332 1356 1620 1665 1695 1998 2034 2220 2260 2430 2997 3051 3330 3390 3996 4068 4181 4860 4995 5085 5994 6102 6660 6780 8362 8991 9153 9990 10170 11988 12204 12543 14985 15255 16724 17982 18306 19980 20340 20905 25086 27459 29970 30510 35964 36612 37629 41810 44955 45765 50172 54918 59940 61020 62715 75258 83620 89910 91530 109836 112887 125430 137295 150516 179820 183060 188145 225774 250860 274590 338661 376290 451548 549180 564435 677322 752580 1015983 1128870 1354644 1693305 2031966 2257740 3386610 4063932 5079915 6773220 10159830 20319660