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412827140 = 225117923753
BaseRepresentation
bin11000100110110…
…011111000000100
31001202210210101002
4120212303320010
51321140432030
6104544152432
713141654445
oct3046637004
91052723332
10412827140
111a2037160
12b6308718
13676b2c1b
143cb832cc
1526399245
hex189b3e04

412827140 has 48 divisors (see below), whose sum is σ = 957761280. Its totient is φ = 148212480.

The previous prime is 412827131. The next prime is 412827187. The reversal of 412827140 is 41728214.

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 15 ways as a sum of consecutive naturals, for example, 5504 + ... + 29256.

It is an arithmetic number, because the mean of its divisors is an integer number (19953360).

Almost surely, 2412827140 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 412827140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478880640).

412827140 is an abundant number, since it is smaller than the sum of its proper divisors (544934140).

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

412827140 is a wasteful number, since it uses less digits than its factorization.

412827140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23852 (or 23850 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 412827140 is about 20318.1480455282. The cubic root of 412827140 is about 744.5995114876.

The spelling of 412827140 in words is "four hundred twelve million, eight hundred twenty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 3476 4345 8690 17380 23753 47506 95012 118765 237530 261283 475060 522566 1045132 1306415 1876487 2612830 3752974 5225660 7505948 9382435 18764870 20641357 37529740 41282714 82565428 103206785 206413570 412827140