Search a number
-
+
2134512 = 243761
BaseRepresentation
bin1000001001000111110000
311000110000000
420021013300
51021301022
6113430000
724100032
oct10110760
94013000
102134512
111228766
1286b300
13599733
143d7c52
152c26ac
hex2091f0

2134512 has 80 divisors (see below), whose sum is σ = 6304160. Its totient is φ = 699840.

The previous prime is 2134507. The next prime is 2134519. The reversal of 2134512 is 2154312.

2134512 is a `hidden beast` number, since 213 + 451 + 2 = 666.

It is a super-2 number, since 2×21345122 = 9112282956288, which contains 22 as substring.

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

It is an Ulam number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34962 + ... + 35022.

It is an arithmetic number, because the mean of its divisors is an integer number (78802).

22134512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152080).

2134512 is an abundant number, since it is smaller than the sum of its proper divisors (4169648).

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

2134512 is an frugal number, since it uses more digits than its factorization.

2134512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 2134512 is about 1460.9969199146. The cubic root of 2134512 is about 128.7556217107.

Adding to 2134512 its reverse (2154312), we get a palindrome (4288824).

The spelling of 2134512 in words is "two million, one hundred thirty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 144 162 183 216 243 244 324 366 432 486 488 549 648 729 732 972 976 1098 1296 1458 1464 1647 1944 2187 2196 2916 2928 3294 3888 4374 4392 4941 5832 6588 8748 8784 9882 11664 13176 14823 17496 19764 26352 29646 34992 39528 44469 59292 79056 88938 118584 133407 177876 237168 266814 355752 533628 711504 1067256 2134512