[go: up one dir, main page]

Search a number
-
+
15124240 = 245971949
BaseRepresentation
bin111001101100…
…011100010000
31001110101120001
4321230130100
512332433430
61300055344
7242360665
oct71543420
931411501
1015124240
1185a007a
125094554
133197071
142019a6c
1514db3ca
hexe6c710

15124240 has 40 divisors (see below), whose sum is σ = 35544600. Its totient is φ = 5984256.

The previous prime is 15124229. The next prime is 15124267. The reversal of 15124240 is 4242151.

It can be written as a sum of positive squares in 4 ways, for example, as 2985984 + 12138256 = 1728^2 + 3484^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6786 + ... + 8734.

It is an arithmetic number, because the mean of its divisors is an integer number (888615).

Almost surely, 215124240 is an apocalyptic number.

15124240 is a gapful number since it is divisible by the number (10) 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 15124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17772300).

15124240 is an abundant number, since it is smaller than the sum of its proper divisors (20420360).

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

15124240 is a wasteful number, since it uses less digits than its factorization.

15124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 15124240 is about 3888.9895859979. The cubic root of 15124240 is about 247.3002299151.

Adding to 15124240 its reverse (4242151), we get a palindrome (19366391).

The spelling of 15124240 in words is "fifteen million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 1949 3880 3898 7760 7796 9745 15592 19490 31184 38980 77960 155920 189053 378106 756212 945265 1512424 1890530 3024848 3781060 7562120 15124240