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2531320 = 235112523
BaseRepresentation
bin1001101001111111111000
311202121022121
421221333320
51122000240
6130131024
730341641
oct11517770
94677277
102531320
111479900
12a20a74
136a822c
1449c6c8
1535004a
hex269ff8

2531320 has 48 divisors (see below), whose sum is σ = 6272280. Its totient is φ = 918720.

The previous prime is 2531293. The next prime is 2531369. The reversal of 2531320 is 231352.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2531294 and 2531303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4579 + ... + 5101.

22531320 is an apocalyptic number.

2531320 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 2531320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136140).

2531320 is an abundant number, since it is smaller than the sum of its proper divisors (3740960).

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

2531320 is a wasteful number, since it uses less digits than its factorization.

2531320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 2531320 is about 1591.0122563953. The cubic root of 2531320 is about 136.2853007317.

Adding to 2531320 its reverse (231352), we get a palindrome (2762672).

Subtracting from 2531320 its reverse (231352), we obtain a cube (2299968 = 1323).

The spelling of 2531320 in words is "two million, five hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 523 605 968 1046 1210 2092 2420 2615 4184 4840 5230 5753 10460 11506 20920 23012 28765 46024 57530 63283 115060 126566 230120 253132 316415 506264 632830 1265660 2531320