Search a number
-
+
2132532 = 2232371601
BaseRepresentation
bin1000001000101000110100
311000100021200
420020220310
51021220112
6113412500
724061203
oct10105064
94010250
102132532
111227226
1286a130
1359886c
143d723a
152c1cdc
hex208a34

2132532 has 36 divisors (see below), whose sum is σ = 5539716. Its totient is φ = 691200.

The previous prime is 2132513. The next prime is 2132539. The reversal of 2132532 is 2352312.

2132532 is a `hidden beast` number, since 2 + 132 + 532 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2056356 + 76176 = 1434^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (36).

2132532 is an astonishing number since 2132532 = 532 + ... + 2132.

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

It is a d-powerful number, because it can be written as 22 + 1 + 3 + 26 + 56 + 39 + 221 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132539) 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 11 ways as a sum of consecutive naturals, for example, 532 + ... + 2132.

It is an arithmetic number, because the mean of its divisors is an integer number (153881).

22132532 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 2132532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769858).

2132532 is an abundant number, since it is smaller than the sum of its proper divisors (3407184).

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

2132532 is a wasteful number, since it uses less digits than its factorization.

2132532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1643 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 2132532 is about 1460.3191432012. The cubic root of 2132532 is about 128.7157976200.

The spelling of 2132532 in words is "two million, one hundred thirty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1601 3202 4803 6404 9606 14409 19212 28818 57636 59237 118474 177711 236948 355422 533133 710844 1066266 2132532