Search a number
-
+
15050040 = 2335167751
BaseRepresentation
bin111001011010…
…010100111000
31001022121202220
4321122110320
512323100130
61254324040
7241631445
oct71322470
931277686
1015050040
11854a355
125059620
13316c365
141dda9cc
1514c4410
hexe5a538

15050040 has 64 divisors (see below), whose sum is σ = 45480960. Its totient is φ = 3984000.

The previous prime is 15050029. The next prime is 15050041. The reversal of 15050040 is 4005051.

15050040 is digitally balanced in base 2, 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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15050041) 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, 19665 + ... + 20415.

It is an arithmetic number, because the mean of its divisors is an integer number (710640).

Almost surely, 215050040 is an apocalyptic number.

15050040 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 15050040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22740480).

15050040 is an abundant number, since it is smaller than the sum of its proper divisors (30430920).

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

15050040 is a wasteful number, since it uses less digits than its factorization.

15050040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 15050040 is about 3879.4381036434. The cubic root of 15050040 is about 246.8951458217.

Adding to 15050040 its reverse (4005051), we get a palindrome (19055091).

The spelling of 15050040 in words is "fifteen million, fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 334 501 668 751 835 1002 1336 1502 1670 2004 2253 2505 3004 3340 3755 4008 4506 5010 6008 6680 7510 9012 10020 11265 15020 18024 20040 22530 30040 45060 90120 125417 250834 376251 501668 627085 752502 1003336 1254170 1505004 1881255 2508340 3010008 3762510 5016680 7525020 15050040