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2141000 = 23532141
BaseRepresentation
bin1000001010101101001000
311000202220022
420022231020
51022003000
6113520012
724124661
oct10125510
94022808
102141000
111232624
12873008
1359c684
143da368
152c4585
hex20ab48

2141000 has 32 divisors (see below), whose sum is σ = 5012280. Its totient is φ = 856000.

The previous prime is 2140993. The next prime is 2141033. The reversal of 2141000 is 1412.

It can be written as a sum of positive squares in 4 ways, for example, as 1223236 + 917764 = 1106^2 + 958^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71 + ... + 2070.

22141000 is an apocalyptic number.

2141000 is a gapful number since it is divisible by the number (20) 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 2141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506140).

2141000 is an abundant number, since it is smaller than the sum of its proper divisors (2871280).

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

2141000 is a wasteful number, since it uses less digits than its factorization.

2141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2141000 is about 1463.2156368765. The cubic root of 2141000 is about 128.8859436945.

Adding to 2141000 its reverse (1412), we get a palindrome (2142412).

The spelling of 2141000 in words is "two million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2141 4282 8564 10705 17128 21410 42820 53525 85640 107050 214100 267625 428200 535250 1070500 2141000