Search a number
-
+
2412540 = 22325131031
BaseRepresentation
bin1001001100111111111100
311112120101100
421030333330
51104200130
6123413100
726335434
oct11147774
94476340
102412540
1113a8639
12984190
13666150
1446b2c4
15329c60
hex24cffc

2412540 has 72 divisors (see below), whose sum is σ = 7888608. Its totient is φ = 593280.

The previous prime is 2412491. The next prime is 2412541. The reversal of 2412540 is 452142.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1825 + ... + 2855.

It is an arithmetic number, because the mean of its divisors is an integer number (109564).

22412540 is an apocalyptic number.

2412540 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 2412540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944304).

2412540 is an abundant number, since it is smaller than the sum of its proper divisors (5476068).

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

2412540 is a wasteful number, since it uses less digits than its factorization.

2412540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2412540 is about 1553.2353331031. The cubic root of 2412540 is about 134.1193708702.

Adding to 2412540 its reverse (452142), we get a palindrome (2864682).

The spelling of 2412540 in words is "two million, four hundred twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1031 1170 2062 2340 3093 4124 5155 6186 9279 10310 12372 13403 15465 18558 20620 26806 30930 37116 40209 46395 53612 61860 67015 80418 92790 120627 134030 160836 185580 201045 241254 268060 402090 482508 603135 804180 1206270 2412540