Search a number
-
+
4015000 = 23541173
BaseRepresentation
bin1111010100001110011000
321112222112201
433110032120
52011440000
6222015544
746061353
oct17241630
97488481
104015000
1122a2590
1214175b4
13aa7652
1476729a
1554496a
hex3d4398

4015000 has 80 divisors (see below), whose sum is σ = 10402920. Its totient is φ = 1440000.

The previous prime is 4014977. The next prime is 4015013. The reversal of 4015000 is 5104.

4015000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40150002 = 32240450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 13.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 54964 + ... + 55036.

Almost surely, 24015000 is an apocalyptic number.

4015000 is a gapful number since it is divisible by the number (40) 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 4015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201460).

4015000 is an abundant number, since it is smaller than the sum of its proper divisors (6387920).

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

4015000 is a wasteful number, since it uses less digits than its factorization.

4015000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 4015000 is about 2003.7464909514. The cubic root of 4015000 is about 158.9382828123.

The spelling of 4015000 in words is "four million, fifteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 73 88 100 110 125 146 200 220 250 275 292 365 440 500 550 584 625 730 803 1000 1100 1250 1375 1460 1606 1825 2200 2500 2750 2920 3212 3650 4015 5000 5500 6424 6875 7300 8030 9125 11000 13750 14600 16060 18250 20075 27500 32120 36500 40150 45625 55000 73000 80300 91250 100375 160600 182500 200750 365000 401500 501875 803000 1003750 2007500 4015000