Search a number
-
+
2533940 = 225316167
BaseRepresentation
bin1001101010101000110100
311202201220122
421222220310
51122041230
6130151112
730352403
oct11525064
94681818
102533940
111480872
12a22498
136a9496
1449d63a
15350be5
hex26aa34

2533940 has 48 divisors (see below), whose sum is σ = 5666304. Its totient is φ = 950400.

The previous prime is 2533939. The next prime is 2533943. The reversal of 2533940 is 493352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2533943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37787 + ... + 37853.

It is an arithmetic number, because the mean of its divisors is an integer number (118048).

22533940 is an apocalyptic number.

2533940 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 2533940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833152).

2533940 is an abundant number, since it is smaller than the sum of its proper divisors (3132364).

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

2533940 is a wasteful number, since it uses less digits than its factorization.

2533940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 2533940 is about 1591.8354186284. The cubic root of 2533940 is about 136.3323044513.

The spelling of 2533940 in words is "two million, five hundred thirty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 61 62 67 122 124 134 155 244 268 305 310 335 610 620 670 1220 1340 1891 2077 3782 4087 4154 7564 8174 8308 9455 10385 16348 18910 20435 20770 37820 40870 41540 81740 126697 253394 506788 633485 1266970 2533940