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2533980 = 2235157269
BaseRepresentation
bin1001101010101001011100
311202201222010
421222221130
51122041410
6130151220
730352461
oct11525134
94681863
102533980
1114808a9
12a22510
136a94c7
1449d668
15350c20
hex26aa5c

2533980 has 48 divisors (see below), whose sum is σ = 7166880. Its totient is φ = 668928.

The previous prime is 2533967. The next prime is 2534009. The reversal of 2533980 is 893352.

It is a happy number.

2533980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9286 + ... + 9554.

It is an arithmetic number, because the mean of its divisors is an integer number (149310).

22533980 is an apocalyptic number.

2533980 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 2533980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583440).

2533980 is an abundant number, since it is smaller than the sum of its proper divisors (4632900).

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

2533980 is a wasteful number, since it uses less digits than its factorization.

2533980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2533980 is about 1591.8479826918. The cubic root of 2533980 is about 136.3330218142. Note that the first 3 decimals are identical.

The spelling of 2533980 in words is "two million, five hundred thirty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 269 314 471 538 628 785 807 942 1076 1345 1570 1614 1884 2355 2690 3140 3228 4035 4710 5380 8070 9420 16140 42233 84466 126699 168932 211165 253398 422330 506796 633495 844660 1266990 2533980