Search a number
-
+
1506020 = 225257293
BaseRepresentation
bin101101111101011100100
32211111212112
411233223210
5341143040
652140152
715541505
oct5575344
92744775
101506020
1193954a
12607658
13409649
142b2bac
151eb365
hex16fae4

1506020 has 24 divisors (see below), whose sum is σ = 3185784. Its totient is φ = 598016.

The previous prime is 1506007. The next prime is 1506023. The reversal of 1506020 is 206051.

It can be written as a sum of positive squares in 4 ways, for example, as 964324 + 541696 = 982^2 + 736^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1505986 and 1506004.

It is not an unprimeable number, because it can be changed into a prime (1506023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4994 + ... + 5286.

It is an arithmetic number, because the mean of its divisors is an integer number (132741).

21506020 is an apocalyptic number.

1506020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1506020 is an abundant number, since it is smaller than the sum of its proper divisors (1679764).

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

1506020 is a wasteful number, since it uses less digits than its factorization.

1506020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1506020 is about 1227.2000651890. The cubic root of 1506020 is about 114.6243571747.

The spelling of 1506020 in words is "one million, five hundred six thousand, twenty".

Divisors: 1 2 4 5 10 20 257 293 514 586 1028 1172 1285 1465 2570 2930 5140 5860 75301 150602 301204 376505 753010 1506020