Search a number
-
+
3015040 = 2757673
BaseRepresentation
bin1011100000000110000000
312200011212011
423200012000
51232440130
6144342304
734425130
oct13400600
95604764
103015040
11177a276
121014994
13817462
14586ac0
153e852a
hex2e0180

3015040 has 64 divisors (see below), whose sum is σ = 8249760. Its totient is φ = 1032192.

The previous prime is 3015037. The next prime is 3015059. The reversal of 3015040 is 405103.

3015040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 3015040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4144 + ... + 4816.

Almost surely, 23015040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124880).

3015040 is an abundant number, since it is smaller than the sum of its proper divisors (5234720).

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

3015040 is an equidigital number, since it uses as much as digits as its factorization.

3015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 3015040 is about 1736.3870536260. The cubic root of 3015040 is about 144.4655713126.

The spelling of 3015040 in words is "three million, fifteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 673 896 1120 1346 2240 2692 3365 4480 4711 5384 6730 9422 10768 13460 18844 21536 23555 26920 37688 43072 47110 53840 75376 86144 94220 107680 150752 188440 215360 301504 376880 430720 603008 753760 1507520 3015040