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412730010 = 232571159557
BaseRepresentation
bin11000100110011…
…100001010011010
31001202121212010200
4120212130022122
51321124330020
6104542123030
713141101330
oct3046341232
91052555120
10412730010
111a1a80190
12b6280476
136767a954
143cb59b50
152637a590
hex1899c29a

412730010 has 96 divisors (see below), whose sum is σ = 1337910912. Its totient is φ = 85760640.

The previous prime is 412729991. The next prime is 412730057. The reversal of 412730010 is 10037214.

It is a super-2 number, since 2×4127300102 = 340692122309200200, which contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 22849 + ... + 36708.

It is an arithmetic number, because the mean of its divisors is an integer number (13936572).

Almost surely, 2412730010 is an apocalyptic number.

412730010 is an abundant number, since it is smaller than the sum of its proper divisors (925180902).

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

412730010 is a wasteful number, since it uses less digits than its factorization.

412730010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59588 (or 59585 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 412730010 is about 20315.7576772317. The cubic root of 412730010 is about 744.5411104311.

Adding to 412730010 its reverse (10037214), we get a palindrome (422767224).

The spelling of 412730010 in words is "four hundred twelve million, seven hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 59557 119114 178671 297785 357342 416899 536013 595570 655127 833798 893355 1072026 1250697 1310254 1786710 1965381 2084495 2501394 2680065 3275635 3752091 3930762 4168990 4585889 5360130 5896143 6253485 6551270 7504182 9171778 9826905 11792286 12506970 13757667 18760455 19653810 22929445 27515334 29480715 37520910 41273001 45858890 58961430 68788335 82546002 137576670 206365005 412730010