Search a number
-
+
24070080 = 263525073
BaseRepresentation
bin101101111010…
…0011111000000
31200021212221110
41123310133000
522130220310
62215523320
7411410106
oct133643700
950255843
1024070080
1112650231
128089540
134ca9b68
1432a7c76
1521a6d20
hex16f47c0

24070080 has 56 divisors (see below), whose sum is σ = 76425552. Its totient is φ = 6418432.

The previous prime is 24070073. The next prime is 24070097. The reversal of 24070080 is 8007042.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11577 + ... + 13496.

It is an arithmetic number, because the mean of its divisors is an integer number (1364742).

Almost surely, 224070080 is an apocalyptic number.

24070080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24070080 is an abundant number, since it is smaller than the sum of its proper divisors (52355472).

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

24070080 is a wasteful number, since it uses less digits than its factorization.

24070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25093 (or 25083 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 24070080 is about 4906.1267818922. The cubic root of 24070080 is about 288.7303991492.

The spelling of 24070080 in words is "twenty-four million, seventy thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 25073 50146 75219 100292 125365 150438 200584 250730 300876 376095 401168 501460 601752 752190 802336 1002920 1203504 1504380 1604672 2005840 2407008 3008760 4011680 4814016 6017520 8023360 12035040 24070080