Search a number
-
+
2152480 = 255111223
BaseRepresentation
bin1000001101100000100000
311001100122111
420031200200
51022334410
6114045104
724203311
oct10154040
94040574
102152480
111240210
12879794
135a4975
14400608
152c7b8a
hex20d820

2152480 has 48 divisors (see below), whose sum is σ = 5552064. Its totient is φ = 782080.

The previous prime is 2152477. The next prime is 2152481. The reversal of 2152480 is 842512.

2152480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2152481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1149 + ... + 2371.

It is an arithmetic number, because the mean of its divisors is an integer number (115668).

22152480 is an apocalyptic number.

2152480 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 2152480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776032).

2152480 is an abundant number, since it is smaller than the sum of its proper divisors (3399584).

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

2152480 is a wasteful number, since it uses less digits than its factorization.

2152480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2152480 is about 1467.1332591145. The cubic root of 2152480 is about 129.1158944863.

Adding to 2152480 its reverse (842512), we get a palindrome (2994992).

The spelling of 2152480 in words is "two million, one hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1223 1760 2446 4892 6115 9784 12230 13453 19568 24460 26906 39136 48920 53812 67265 97840 107624 134530 195680 215248 269060 430496 538120 1076240 2152480