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412012020 = 223573726513
BaseRepresentation
bin11000100011101…
…100110111110100
31001201021101020110
4120203230313310
51320433341040
6104514503020
713132021140
oct3043546764
91051241213
10412012020
111a162a802
12b5b94a70
1367488bc4
143ca10220
1526287980
hex188ecdf4

412012020 has 96 divisors (see below), whose sum is σ = 1354123008. Its totient is φ = 91625472.

The previous prime is 412012009. The next prime is 412012039. The reversal of 412012020 is 20210214.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 412011987 and 412012005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2284 + ... + 28796.

It is an arithmetic number, because the mean of its divisors is an integer number (14105448).

Almost surely, 2412012020 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 412012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677061504).

412012020 is an abundant number, since it is smaller than the sum of its proper divisors (942110988).

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

412012020 is a wasteful number, since it uses less digits than its factorization.

412012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26569 (or 26567 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 412012020 is about 20298.0792194730. The cubic root of 412012020 is about 744.1091223340.

Adding to 412012020 its reverse (20210214), we get a palindrome (432222234).

The spelling of 412012020 in words is "four hundred twelve million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 5180 7770 15540 26513 53026 79539 106052 132565 159078 185591 265130 318156 371182 397695 530260 556773 742364 795390 927955 980981 1113546 1590780 1855910 1961962 2227092 2783865 2942943 3711820 3923924 4904905 5567730 5885886 6866867 9809810 11135460 11771772 13733734 14714715 19619620 20600601 27467468 29429430 34334335 41201202 58858860 68668670 82402404 103003005 137337340 206006010 412012020