Search a number
-
+
2002140 = 2232572227
BaseRepresentation
bin111101000110011011100
310202201102100
413220303130
51003032030
6110525100
723006100
oct7506334
93681370
102002140
111148268
12806790
135513ca
143a1900
15298360
hex1e8cdc

2002140 has 108 divisors (see below), whose sum is σ = 7095816. Its totient is φ = 455616.

The previous prime is 2002093. The next prime is 2002151. The reversal of 2002140 is 412002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8707 + ... + 8933.

It is an arithmetic number, because the mean of its divisors is an integer number (65702).

22002140 is an apocalyptic number.

2002140 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 2002140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547908).

2002140 is an abundant number, since it is smaller than the sum of its proper divisors (5093676).

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

2002140 is a wasteful number, since it uses less digits than its factorization.

2002140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2002140 is about 1414.9699643455. The cubic root of 2002140 is about 126.0370261555.

Adding to 2002140 its reverse (412002), we get a palindrome (2414142).

The spelling of 2002140 in words is "two million, two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 227 245 252 294 315 420 441 454 490 588 630 681 735 882 908 980 1135 1260 1362 1470 1589 1764 2043 2205 2270 2724 2940 3178 3405 4086 4410 4540 4767 6356 6810 7945 8172 8820 9534 10215 11123 13620 14301 15890 19068 20430 22246 23835 28602 31780 33369 40860 44492 47670 55615 57204 66738 71505 95340 100107 111230 133476 143010 166845 200214 222460 286020 333690 400428 500535 667380 1001070 2002140