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412510020 = 2235134112899
BaseRepresentation
bin11000100101100…
…110011101000100
31001202012200100220
4120211212131010
51321100310040
6104533304340
713136164056
oct3045463504
91052180326
10412510020
111a193a97a
12b61950b0
1367601790
143cadd8d6
15263352d0
hex18966744

412510020 has 96 divisors (see below), whose sum is σ = 1274313600. Its totient is φ = 99056640.

The previous prime is 412510019. The next prime is 412510039. The reversal of 412510020 is 20015214.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 25531 + ... + 38429.

It is an arithmetic number, because the mean of its divisors is an integer number (13274100).

Almost surely, 2412510020 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 412510020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637156800).

412510020 is an abundant number, since it is smaller than the sum of its proper divisors (861803580).

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

412510020 is a wasteful number, since it uses less digits than its factorization.

412510020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12965 (or 12963 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 412510020 is about 20310.3426854398. The cubic root of 412510020 is about 744.4088038348.

Adding to 412510020 its reverse (20015214), we get a palindrome (432525234).

The spelling of 412510020 in words is "four hundred twelve million, five hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 41 52 60 65 78 82 123 130 156 164 195 205 246 260 390 410 492 533 615 780 820 1066 1230 1599 2132 2460 2665 3198 5330 6396 7995 10660 12899 15990 25798 31980 38697 51596 64495 77394 128990 154788 167687 193485 257980 335374 386970 503061 528859 670748 773940 838435 1006122 1057718 1586577 1676870 2012244 2115436 2515305 2644295 3173154 3353740 5030610 5288590 6346308 6875167 7932885 10061220 10577180 13750334 15865770 20625501 27500668 31731540 34375835 41251002 68751670 82502004 103127505 137503340 206255010 412510020