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24168420 = 22325134269
BaseRepresentation
bin101110000110…
…0011111100100
31200110212211200
41130030133210
522141342140
62222002500
7412266603
oct134143744
950425750
1024168420
1112708101
128116430
135012853
1432d1a3a
1521c6030
hex170c7e4

24168420 has 36 divisors (see below), whose sum is σ = 73311420. Its totient is φ = 6444864.

The previous prime is 24168413. The next prime is 24168421. The reversal of 24168420 is 2486142.

It can be written as a sum of positive squares in 2 ways, for example, as 16451136 + 7717284 = 4056^2 + 2778^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×241684202 = 1168225050592800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24168421) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 66955 + ... + 67314.

Almost surely, 224168420 is an apocalyptic number.

24168420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24168420 is an abundant number, since it is smaller than the sum of its proper divisors (49143000).

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

24168420 is a wasteful number, since it uses less digits than its factorization.

24168420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134284 (or 134279 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 24168420 is about 4916.1387287179. The cubic root of 24168420 is about 289.1230742984.

The spelling of 24168420 in words is "twenty-four million, one hundred sixty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 134269 268538 402807 537076 671345 805614 1208421 1342690 1611228 2014035 2416842 2685380 4028070 4833684 6042105 8056140 12084210 24168420