Search a number
-
+
2484240 = 243511941
BaseRepresentation
bin1001011110100000010000
311200012201220
421132200100
51113443430
6125125040
730054453
oct11364020
94605656
102484240
1114474a0
129b9780
1368c985
1448949a
15341110
hex25e810

2484240 has 80 divisors (see below), whose sum is σ = 8410176. Its totient is φ = 601600.

The previous prime is 2484233. The next prime is 2484241. The reversal of 2484240 is 424842.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2484240.

It is not an unprimeable number, because it can be changed into a prime (2484241) 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, 2170 + ... + 3110.

22484240 is an apocalyptic number.

2484240 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 2484240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205088).

2484240 is an abundant number, since it is smaller than the sum of its proper divisors (5925936).

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

2484240 is a wasteful number, since it uses less digits than its factorization.

2484240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2484240 is about 1576.1472012474. The cubic root of 2484240 is about 135.4350846218.

The spelling of 2484240 in words is "two million, four hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 941 1320 1882 2640 2823 3764 4705 5646 7528 9410 10351 11292 14115 15056 18820 20702 22584 28230 31053 37640 41404 45168 51755 56460 62106 75280 82808 103510 112920 124212 155265 165616 207020 225840 248424 310530 414040 496848 621060 828080 1242120 2484240