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24156020 = 225721572
BaseRepresentation
bin101110000100…
…1011101110100
31200110020211102
41130021131310
522140443040
62221425232
7412215500
oct134113564
950406742
1024156020
11126a9859
12810b218
13500a005
1432cb300
1521c2515
hex1709774

24156020 has 54 divisors (see below), whose sum is σ = 59387958. Its totient is φ = 8229312.

The previous prime is 24156019. The next prime is 24156023. The reversal of 24156020 is 2065142.

It is a happy number.

24156020 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 3 ways, for example, as 283024 + 23872996 = 532^2 + 4886^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 24155983 and 24156001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24156023) 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 17 ways as a sum of consecutive naturals, for example, 153782 + ... + 153938.

It is an arithmetic number, because the mean of its divisors is an integer number (1099777).

Almost surely, 224156020 is an apocalyptic number.

24156020 is a gapful number since it is divisible by the number (20) 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 24156020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29693979).

24156020 is an abundant number, since it is smaller than the sum of its proper divisors (35231938).

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

24156020 is a wasteful number, since it uses less digits than its factorization.

24156020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 24156020 is about 4914.8774145445. The cubic root of 24156020 is about 289.0736194116.

Multiplying 24156020 by its sum of digits (20), we get a square (483120400 = 219802).

24156020 divided by its sum of digits (20) gives a square (1207801 = 10992).

The spelling of 24156020 in words is "twenty-four million, one hundred fifty-six thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 157 196 245 314 490 628 785 980 1099 1570 2198 3140 4396 5495 7693 10990 15386 21980 24649 30772 38465 49298 76930 98596 123245 153860 172543 246490 345086 492980 690172 862715 1207801 1725430 2415602 3450860 4831204 6039005 12078010 24156020