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2182140 = 22355449
BaseRepresentation
bin1000010100101111111100
311002212100000
420110233330
51024312030
6114434300
724355632
oct10245774
94085300
102182140
111260524
12892990
135b530c
1440b352
152d1860
hex214bfc

2182140 has 72 divisors (see below), whose sum is σ = 6879600. Its totient is φ = 580608.

The previous prime is 2182139. The next prime is 2182177. The reversal of 2182140 is 412812.

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

It is a congruent number.

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, 4636 + ... + 5084.

It is an arithmetic number, because the mean of its divisors is an integer number (95550).

22182140 is an apocalyptic number.

2182140 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 2182140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439800).

2182140 is an abundant number, since it is smaller than the sum of its proper divisors (4697460).

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

2182140 is a wasteful number, since it uses less digits than its factorization.

2182140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2182140 is about 1477.2068237048. The cubic root of 2182140 is about 129.7062400461.

Adding to 2182140 its reverse (412812), we get a palindrome (2594952).

The spelling of 2182140 in words is "two million, one hundred eighty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 449 486 540 810 898 972 1215 1347 1620 1796 2245 2430 2694 4041 4490 4860 5388 6735 8082 8980 12123 13470 16164 20205 24246 26940 36369 40410 48492 60615 72738 80820 109107 121230 145476 181845 218214 242460 363690 436428 545535 727380 1091070 2182140