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424759140 = 223951383
BaseRepresentation
bin11001010100010…
…100111101100100
31002121021000000000
4121110110331210
51332214243030
6110052021300
713345251561
oct3124247544
91077230000
10424759140
111a8846913
12ba301830
1369cccc90
14405ab868
1527454860
hex19514f64

424759140 has 240 divisors, whose sum is σ = 1458249408. Its totient is φ = 103296384.

The previous prime is 424759121. The next prime is 424759141. The reversal of 424759140 is 41957424.

It is a happy number.

424759140 is a `hidden beast` number, since 4 + 24 + 7 + 591 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 424759095 and 424759104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424759141) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5117539 + ... + 5117621.

Almost surely, 2424759140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424759140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729124704).

424759140 is an abundant number, since it is smaller than the sum of its proper divisors (1033490268).

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

424759140 is an equidigital number, since it uses as much as digits as its factorization.

424759140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 424759140 is about 20609.6855871214. The cubic root of 424759140 is about 751.7052399373.

It can be divided in two parts, 42475 and 9140, that added together give a palindrome (51615).

The spelling of 424759140 in words is "four hundred twenty-four million, seven hundred fifty-nine thousand, one hundred forty".