Search a number
-
+
24712080 = 2435102967
BaseRepresentation
bin101111001000…
…1001110010000
31201111111121020
41132101032100
522311241310
62241355440
7420022611
oct136211620
951444536
1024712080
1112a49608
128338b80
135173143
1433d3c08
152282170
hex1791390

24712080 has 40 divisors (see below), whose sum is σ = 76608192. Its totient is φ = 6589824.

The previous prime is 24712063. The next prime is 24712081. The reversal of 24712080 is 8021742.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×247120802 = 1221373795852800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 24712080.

It is not an unprimeable number, because it can be changed into a prime (24712081) by changing a digit.

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, 51244 + ... + 51723.

Almost surely, 224712080 is an apocalyptic number.

24712080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24712080 is an abundant number, since it is smaller than the sum of its proper divisors (51896112).

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

24712080 is a wasteful number, since it uses less digits than its factorization.

24712080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102983 (or 102977 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 24712080 is about 4971.1246212502. The cubic root of 24712080 is about 291.2749258755.

The spelling of 24712080 in words is "twenty-four million, seven hundred twelve thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 102967 205934 308901 411868 514835 617802 823736 1029670 1235604 1544505 1647472 2059340 2471208 3089010 4118680 4942416 6178020 8237360 12356040 24712080