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2132460 = 2233511359
BaseRepresentation
bin1000001000100111101100
311000100012000
420020213230
51021214320
6113412300
724061041
oct10104754
94010160
102132460
111227170
1286a090
13598815
143d71c8
152c1c90
hex2089ec

2132460 has 96 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 515520.

The previous prime is 2132419. The next prime is 2132461. The reversal of 2132460 is 642312.

It is a happy number.

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 (2132461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5761 + ... + 6119.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

22132460 is an apocalyptic number.

2132460 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 2132460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2132460 is an abundant number, since it is smaller than the sum of its proper divisors (5125140).

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

2132460 is a wasteful number, since it uses less digits than its factorization.

2132460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2132460 is about 1460.2944908477. The cubic root of 2132460 is about 128.7143490068.

Adding to 2132460 its reverse (642312), we get a palindrome (2774772).

The spelling of 2132460 in words is "two million, one hundred thirty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 359 396 495 540 594 660 718 990 1077 1188 1436 1485 1795 1980 2154 2970 3231 3590 3949 4308 5385 5940 6462 7180 7898 9693 10770 11847 12924 15796 16155 19386 19745 21540 23694 32310 35541 38772 39490 47388 48465 59235 64620 71082 78980 96930 106623 118470 142164 177705 193860 213246 236940 355410 426492 533115 710820 1066230 2132460