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24122140 = 2257434007
BaseRepresentation
bin101110000000…
…1001100011100
31200101112100121
41130001030130
522133402030
62221004324
7412014640
oct134011434
950345317
1024122140
1112686359
1280b36a4
134cc7773
1432bcc20
1521b747a
hex170131c

24122140 has 48 divisors (see below), whose sum is σ = 59254272. Its totient is φ = 8076096.

The previous prime is 24122083. The next prime is 24122149. The reversal of 24122140 is 4122142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24122149) 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, 4017 + ... + 8023.

It is an arithmetic number, because the mean of its divisors is an integer number (1234464).

Almost surely, 224122140 is an apocalyptic number.

24122140 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 24122140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29627136).

24122140 is an abundant number, since it is smaller than the sum of its proper divisors (35132132).

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

24122140 is a wasteful number, since it uses less digits than its factorization.

24122140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 24122140 is about 4911.4295271336. The cubic root of 24122140 is about 288.9384095472.

Adding to 24122140 its reverse (4122142), we get a palindrome (28244282).

The spelling of 24122140 in words is "twenty-four million, one hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 3010 4007 6020 8014 16028 20035 28049 40070 56098 80140 112196 140245 172301 280490 344602 560980 689204 861505 1206107 1723010 2412214 3446020 4824428 6030535 12061070 24122140