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412521660 = 22355174993
BaseRepresentation
bin11000100101101…
…001010010111100
31001202020021100000
4120211221102330
51321101143120
6104533434300
713136243025
oct3045512274
91052207300
10412521660
111a19486a1
12b619b990
1367606b75
143cb03c4c
1526338990
hex189694bc

412521660 has 144 divisors (see below), whose sum is σ = 1374268896. Its totient is φ = 103514112.

The previous prime is 412521653. The next prime is 412521667. The reversal of 412521660 is 66125214.

It is an interprime number because it is at equal distance from previous prime (412521653) and next prime (412521667).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412521667) 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, 80124 + ... + 85116.

It is an arithmetic number, because the mean of its divisors is an integer number (9543534).

Almost surely, 2412521660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412521660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687134448).

412521660 is an abundant number, since it is smaller than the sum of its proper divisors (961747236).

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

412521660 is a wasteful number, since it uses less digits than its factorization.

412521660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 412521660 is about 20310.6292369291. The cubic root of 412521660 is about 744.4158055532.

Adding to 412521660 its reverse (66125214), we get a palindrome (478646874).

The spelling of 412521660 in words is "four hundred twelve million, five hundred twenty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 243 255 270 306 324 340 405 459 486 510 540 612 765 810 918 972 1020 1215 1377 1530 1620 1836 2295 2430 2754 3060 4131 4590 4860 4993 5508 6885 8262 9180 9986 13770 14979 16524 19972 20655 24965 27540 29958 41310 44937 49930 59916 74895 82620 84881 89874 99860 134811 149790 169762 179748 224685 254643 269622 299580 339524 404433 424405 449370 509286 539244 674055 763929 808866 848810 898740 1018572 1213299 1273215 1348110 1527858 1617732 1697620 2022165 2291787 2426598 2546430 2696220 3055716 3819645 4044330 4583574 4853196 5092860 6066495 6875361 7639290 8088660 9167148 11458935 12132990 13750722 15278580 20626083 22917870 24265980 27501444 34376805 41252166 45835740 68753610 82504332 103130415 137507220 206260830 412521660