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24428140 = 22511373001
BaseRepresentation
bin101110100101…
…1111001101100
31200222002002221
41131023321230
522223200030
62231325124
7414431032
oct135137154
950862087
1024428140
1112875250
1282207a4
1350a3b29
14335c552
152227e7a
hex174be6c

24428140 has 48 divisors (see below), whose sum is σ = 57494304. Its totient is φ = 8640000.

The previous prime is 24428137. The next prime is 24428147. The reversal of 24428140 is 4182442.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24428147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6640 + ... + 9640.

It is an arithmetic number, because the mean of its divisors is an integer number (1197798).

Almost surely, 224428140 is an apocalyptic number.

24428140 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 24428140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28747152).

24428140 is an abundant number, since it is smaller than the sum of its proper divisors (33066164).

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

24428140 is a wasteful number, since it uses less digits than its factorization.

24428140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 24428140 is about 4942.4831815596. The cubic root of 24428140 is about 290.1550498655.

The spelling of 24428140 in words is "twenty-four million, four hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 3001 4070 6002 8140 12004 15005 30010 33011 60020 66022 111037 132044 165055 222074 330110 444148 555185 660220 1110370 1221407 2220740 2442814 4885628 6107035 12214070 24428140