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412120000 = 265410303
BaseRepresentation
bin11000100100000…
…111001111000000
31001201110212100201
4120210013033000
51321000320000
6104521054544
713132651015
oct3044071700
91051425321
10412120000
111a16a3946
12b6027454
13674c60b6
143ca3b70c
15262a996a
hex189073c0

412120000 has 70 divisors (see below), whose sum is σ = 1022022848. Its totient is φ = 164832000.

The previous prime is 412119991. The next prime is 412120021. The reversal of 412120000 is 21214.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 34849 + ... + 45151.

Almost surely, 2412120000 is an apocalyptic number.

412120000 is a gapful number since it is divisible by the number (40) 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 412120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511011424).

412120000 is an abundant number, since it is smaller than the sum of its proper divisors (609902848).

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

412120000 is an equidigital number, since it uses as much as digits as its factorization.

412120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10335 (or 10310 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 412120000 is about 20300.7389028084. The cubic root of 412120000 is about 744.1741219625.

Adding to 412120000 its reverse (21214), we get a palindrome (412141214).

The spelling of 412120000 in words is "four hundred twelve million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 10303 20000 20606 40000 41212 51515 82424 103030 164848 206060 257575 329696 412120 515150 659392 824240 1030300 1287875 1648480 2060600 2575750 3296960 4121200 5151500 6439375 8242400 10303000 12878750 16484800 20606000 25757500 41212000 51515000 82424000 103030000 206060000 412120000