Search a number
-
+
15144040 = 235378601
BaseRepresentation
bin111001110001…
…010001101000
31001111101201101
4321301101220
512334102130
61300331144
7242502502
oct71612150
931441641
1015144040
118603a3a
1250a3ab4
1331a3092
142022d72
1514e21ca
hexe71468

15144040 has 16 divisors (see below), whose sum is σ = 34074180. Its totient is φ = 6057600.

The previous prime is 15144037. The next prime is 15144067. The reversal of 15144040 is 4044151.

It can be written as a sum of positive squares in 2 ways, for example, as 13793796 + 1350244 = 3714^2 + 1162^2 .

It is a junction number, because it is equal to n+sod(n) for n = 15143999 and 15144017.

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 3 ways as a sum of consecutive naturals, for example, 189261 + ... + 189340.

Almost surely, 215144040 is an apocalyptic number.

15144040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15144040 is an abundant number, since it is smaller than the sum of its proper divisors (18930140).

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

15144040 is a wasteful number, since it uses less digits than its factorization.

15144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378612 (or 378608 counting only the distinct ones).

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

The square root of 15144040 is about 3891.5344017495. The cubic root of 15144040 is about 247.4081011057.

Adding to 15144040 its reverse (4044151), we get a palindrome (19188191).

The spelling of 15144040 in words is "fifteen million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 378601 757202 1514404 1893005 3028808 3786010 7572020 15144040