Search a number
-
+
2531340 = 223257341
BaseRepresentation
bin1001101010000000001100
311202121100100
421222000030
51122000330
6130131100
730342000
oct11520014
94677310
102531340
111479919
12a20a90
136a8246
1449c700
15350060
hex26a00c

2531340 has 144 divisors (see below), whose sum is σ = 9172800. Its totient is φ = 564480.

The previous prime is 2531293. The next prime is 2531369. The reversal of 2531340 is 431352.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 61720 + ... + 61760.

It is an arithmetic number, because the mean of its divisors is an integer number (63700).

22531340 is an apocalyptic number.

2531340 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 2531340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586400).

2531340 is an abundant number, since it is smaller than the sum of its proper divisors (6641460).

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

2531340 is a wasteful number, since it uses less digits than its factorization.

2531340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 58 counting only the distinct ones).

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

The square root of 2531340 is about 1591.0185416896. The cubic root of 2531340 is about 136.2856596616.

Adding to 2531340 its reverse (431352), we get a palindrome (2962692).

The spelling of 2531340 in words is "two million, five hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 41 42 45 49 60 63 70 82 84 90 98 105 123 126 140 147 164 180 196 205 210 245 246 252 287 294 315 343 369 410 420 441 490 492 574 588 615 630 686 735 738 820 861 882 980 1029 1148 1230 1260 1372 1435 1470 1476 1715 1722 1764 1845 2009 2058 2205 2460 2583 2870 2940 3087 3430 3444 3690 4018 4116 4305 4410 5145 5166 5740 6027 6174 6860 7380 8036 8610 8820 10045 10290 10332 12054 12348 12915 14063 15435 17220 18081 20090 20580 24108 25830 28126 30135 30870 36162 40180 42189 51660 56252 60270 61740 70315 72324 84378 90405 120540 126567 140630 168756 180810 210945 253134 281260 361620 421890 506268 632835 843780 1265670 2531340