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2132514 = 2331723101
BaseRepresentation
bin1000001000101000100010
311000100021000
420020220202
51021220024
6113412430
724061146
oct10105042
94010230
102132514
11122720a
1286a116
13598857
143d7226
152c1cc9
hex208a22

2132514 has 64 divisors (see below), whose sum is σ = 5287680. Its totient is φ = 633600.

The previous prime is 2132513. The next prime is 2132539. The reversal of 2132514 is 4152312.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 27 + 1 + 311 + 211 + 59 + 1 + 43 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2132513) 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, 21064 + ... + 21164.

It is an arithmetic number, because the mean of its divisors is an integer number (82620).

22132514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643840).

2132514 is an abundant number, since it is smaller than the sum of its proper divisors (3155166).

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

2132514 is a wasteful number, since it uses less digits than its factorization.

2132514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

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

The square root of 2132514 is about 1460.3129801519. The cubic root of 2132514 is about 128.7154354697.

Adding to 2132514 its reverse (4152312), we get a palindrome (6284826).

The spelling of 2132514 in words is "two million, one hundred thirty-two thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 101 102 138 153 202 207 303 306 391 414 459 606 621 782 909 918 1173 1242 1717 1818 2323 2346 2727 3434 3519 4646 5151 5454 6969 7038 10302 10557 13938 15453 20907 21114 30906 39491 41814 46359 62721 78982 92718 118473 125442 236946 355419 710838 1066257 2132514