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2144100 = 2235271021
BaseRepresentation
bin1000001011011101100100
311000221011010
420023131210
51022102400
6113542220
724140010
oct10133544
94027133
102144100
111234992
12874970
135a0bca
143db540
152c5450
hex20b764

2144100 has 72 divisors (see below), whose sum is σ = 7096768. Its totient is φ = 489600.

The previous prime is 2144081. The next prime is 2144117. The reversal of 2144100 is 14412.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1590 + ... + 2610.

22144100 is an apocalyptic number.

2144100 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 2144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548384).

2144100 is an abundant number, since it is smaller than the sum of its proper divisors (4952668).

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

2144100 is a wasteful number, since it uses less digits than its factorization.

2144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1038 counting only the distinct ones).

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

The square root of 2144100 is about 1464.2745644175. The cubic root of 2144100 is about 128.9481192734.

Adding to 2144100 its reverse (14412), we get a palindrome (2158512).

The spelling of 2144100 in words is "two million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1021 1050 2042 2100 3063 4084 5105 6126 7147 10210 12252 14294 15315 20420 21441 25525 28588 30630 35735 42882 51050 61260 71470 76575 85764 102100 107205 142940 153150 178675 214410 306300 357350 428820 536025 714700 1072050 2144100