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2132484 = 2231947199
BaseRepresentation
bin1000001000101000000100
311000100012220
420020220010
51021214414
6113412340
724061104
oct10105004
94010186
102132484
111227192
1286a0b0
13598833
143d7204
152c1ca9
hex208a04

2132484 has 48 divisors (see below), whose sum is σ = 5376000. Its totient is φ = 655776.

The previous prime is 2132483. The next prime is 2132513. The reversal of 2132484 is 4842312.

It is an Ulam number.

It is a d-powerful number, because it can be written as 215 + 1 + 3 + 221 + 45 + 83 + 45 .

It is not an unprimeable number, because it can be changed into a prime (2132483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10617 + ... + 10815.

It is an arithmetic number, because the mean of its divisors is an integer number (112000).

22132484 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 2132484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688000).

2132484 is an abundant number, since it is smaller than the sum of its proper divisors (3243516).

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

2132484 is a wasteful number, since it uses less digits than its factorization.

2132484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2132484 is about 1460.3027083451. The cubic root of 2132484 is about 128.7148318815.

Adding to 2132484 its reverse (4842312), we get a palindrome (6974796).

The spelling of 2132484 in words is "two million, one hundred thirty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 19 38 47 57 76 94 114 141 188 199 228 282 398 564 597 796 893 1194 1786 2388 2679 3572 3781 5358 7562 9353 10716 11343 15124 18706 22686 28059 37412 45372 56118 112236 177707 355414 533121 710828 1066242 2132484