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2532420 = 22325111279
BaseRepresentation
bin1001101010010001000100
311202122211100
421222101010
51122014140
6130140100
730345102
oct11522104
94678740
102532420
11147a710
12a21630
136a8897
1449cc72
15350530
hex26a444

2532420 has 72 divisors (see below), whose sum is σ = 8386560. Its totient is φ = 613440.

The previous prime is 2532419. The next prime is 2532433. The reversal of 2532420 is 242352.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2532393 and 2532402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1341 + ... + 2619.

It is an arithmetic number, because the mean of its divisors is an integer number (116480).

22532420 is an apocalyptic number.

2532420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2532420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193280).

2532420 is an abundant number, since it is smaller than the sum of its proper divisors (5854140).

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

2532420 is a wasteful number, since it uses less digits than its factorization.

2532420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2532420 is about 1591.3579107165. The cubic root of 2532420 is about 136.3050390660.

Adding to 2532420 its reverse (242352), we get a palindrome (2774772).

The spelling of 2532420 in words is "two million, five hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1279 1980 2558 3837 5116 6395 7674 11511 12790 14069 15348 19185 23022 25580 28138 38370 42207 46044 56276 57555 70345 76740 84414 115110 126621 140690 168828 211035 230220 253242 281380 422070 506484 633105 844140 1266210 2532420