Search a number
-
+
4070960 = 245151337
BaseRepresentation
bin1111100001111000110000
321122211022022
433201320300
52020232320
6223131012
746413455
oct17417060
97584268
104070960
112330633
121443a68
13ac6c6a
1477d82c
15556325
hex3e1e30

4070960 has 40 divisors (see below), whose sum is σ = 9555936. Its totient is φ = 1612800.

The previous prime is 4070953. The next prime is 4070971. The reversal of 4070960 is 690704.

4070960 is digitally balanced in base 2, 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 (40).

It is a zygodrome in base 2.

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, 11912 + ... + 12248.

Almost surely, 24070960 is an apocalyptic number.

4070960 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 4070960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777968).

4070960 is an abundant number, since it is smaller than the sum of its proper divisors (5484976).

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

4070960 is a wasteful number, since it uses less digits than its factorization.

4070960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 4070960 is about 2017.6620133214. The cubic root of 4070960 is about 159.6732916728.

The spelling of 4070960 in words is "four million, seventy thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 337 604 674 755 1208 1348 1510 1685 2416 2696 3020 3370 5392 6040 6740 12080 13480 26960 50887 101774 203548 254435 407096 508870 814192 1017740 2035480 4070960