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42003360 = 253457463
BaseRepresentation
bin1010000000111…
…0101110100000
32221000222210000
42200032232200
541223101420
64100140000
71020010530
oct240165640
987028700
1042003360
1121789823
1212097600
138918679
1458154c0
153a4a690
hex280eba0

42003360 has 240 divisors, whose sum is σ = 169779456. Its totient is φ = 9580032.

The previous prime is 42003337. The next prime is 42003371. The reversal of 42003360 is 6330024.

It is a Cunningham number, because it is equal to 64812-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90489 + ... + 90951.

Almost surely, 242003360 is an apocalyptic number.

42003360 is a gapful number since it is divisible by the number (40) 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 42003360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84889728).

42003360 is an abundant number, since it is smaller than the sum of its proper divisors (127776096).

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

42003360 is a wasteful number, since it uses less digits than its factorization.

42003360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 42003360 is about 6480.9999228514. Note that the first 4 decimals coincide. The cubic root of 42003360 is about 347.6119336459.

Adding to 42003360 its reverse (6330024), we get a palindrome (48333384).

The spelling of 42003360 in words is "forty-two million, three thousand, three hundred sixty".