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2141064 = 2332131227
BaseRepresentation
bin1000001010101110001000
311000202222200
420022232020
51022003224
6113520200
724125112
oct10125610
94022880
102141064
111232682
12873060
1359c703
143da3b2
152c45c9
hex20ab88

2141064 has 48 divisors (see below), whose sum is σ = 5868720. Its totient is φ = 705120.

The previous prime is 2141063. The next prime is 2141071. The reversal of 2141064 is 4601412.

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

It is not an unprimeable number, because it can be changed into a prime (2141063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9319 + ... + 9545.

It is an arithmetic number, because the mean of its divisors is an integer number (122265).

22141064 is an apocalyptic number.

2141064 is a gapful number since it is divisible by the number (24) 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 2141064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934360).

2141064 is an abundant number, since it is smaller than the sum of its proper divisors (3727656).

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

2141064 is a wasteful number, since it uses less digits than its factorization.

2141064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2141064 is about 1463.2375063536. The cubic root of 2141064 is about 128.8872279259.

Adding to 2141064 its reverse (4601412), we get a palindrome (6742476).

The spelling of 2141064 in words is "two million, one hundred forty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 227 262 393 454 524 681 786 908 1048 1179 1362 1572 1816 2043 2358 2724 3144 4086 4716 5448 8172 9432 16344 29737 59474 89211 118948 178422 237896 267633 356844 535266 713688 1070532 2141064