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42763140 = 223657419
BaseRepresentation
bin1010001100100…
…0001110000100
32222110121000000
42203020032010
541421410030
64124321300
71026323610
oct243101604
988417000
1042763140
1122158642
12123a3230
138b23444
145972340
153b4a860
hex28c8384

42763140 has 168 divisors, whose sum is σ = 154244160. Its totient is φ = 9751104.

The previous prime is 42763117. The next prime is 42763151. The reversal of 42763140 is 4136724.

42763140 is a `hidden beast` number, since 4 + 27 + 631 + 4 + 0 = 666.

It is a super-2 number, since 2×427631402 = 3657372285319200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 101851 + ... + 102269.

It is an arithmetic number, because the mean of its divisors is an integer number (918120).

Almost surely, 242763140 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 42763140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77122080).

42763140 is an abundant number, since it is smaller than the sum of its proper divisors (111481020).

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

42763140 is a wasteful number, since it uses less digits than its factorization.

42763140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 42763140 is about 6539.3531790231. The cubic root of 42763140 is about 349.6953539554.

Adding to 42763140 its reverse (4136724), we get a palindrome (46899864).

The spelling of 42763140 in words is "forty-two million, seven hundred sixty-three thousand, one hundred forty".