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2132370 = 2325192943
BaseRepresentation
bin1000001000100110010010
311000100001200
420020212102
51021213440
6113412030
724060552
oct10104622
94010050
102132370
111227099
1286a016
13598776
143d7162
152c1c30
hex208992

2132370 has 96 divisors (see below), whose sum is σ = 6177600. Its totient is φ = 508032.

The previous prime is 2132359. The next prime is 2132371. The reversal of 2132370 is 732312.

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 (2132371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49569 + ... + 49611.

It is an arithmetic number, because the mean of its divisors is an integer number (64350).

22132370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088800).

2132370 is an abundant number, since it is smaller than the sum of its proper divisors (4045230).

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

2132370 is a wasteful number, since it uses less digits than its factorization.

2132370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 2132370 is about 1460.2636748204. The cubic root of 2132370 is about 128.7125381945.

Adding to 2132370 its reverse (732312), we get a palindrome (2864682).

The spelling of 2132370 in words is "two million, one hundred thirty-two thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 29 30 38 43 45 57 58 86 87 90 95 114 129 145 171 174 190 215 258 261 285 290 342 387 430 435 522 551 570 645 774 817 855 870 1102 1247 1290 1305 1634 1653 1710 1935 2451 2494 2610 2755 3306 3741 3870 4085 4902 4959 5510 6235 7353 7482 8170 8265 9918 11223 12255 12470 14706 16530 18705 22446 23693 24510 24795 36765 37410 47386 49590 56115 71079 73530 112230 118465 142158 213237 236930 355395 426474 710790 1066185 2132370