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42390160 = 2453714321
BaseRepresentation
bin1010000110110…
…1001010010000
32221202122100221
42201231022100
541322441120
64112322424
71023211321
oct241551220
987678327
1042390160
1121a2339a
1212243414
138a22747
1458b6448
153ac50aa
hex286d290

42390160 has 40 divisors (see below), whose sum is σ = 101227896. Its totient is φ = 16496640.

The previous prime is 42390149. The next prime is 42390169. The reversal of 42390160 is 6109324.

It can be written as a sum of positive squares in 4 ways, for example, as 1838736 + 40551424 = 1356^2 + 6368^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (42390169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4201 + ... + 10120.

Almost surely, 242390160 is an apocalyptic number.

42390160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42390160 is an abundant number, since it is smaller than the sum of its proper divisors (58837736).

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

42390160 is a wasteful number, since it uses less digits than its factorization.

42390160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14371 (or 14365 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 42390160 is about 6510.7726116030. The cubic root of 42390160 is about 348.6757030530.

Adding to 42390160 its reverse (6109324), we get a palindrome (48499484).

The spelling of 42390160 in words is "forty-two million, three hundred ninety thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 14321 28642 57284 71605 114568 143210 229136 286420 529877 572840 1059754 1145680 2119508 2649385 4239016 5298770 8478032 10597540 21195080 42390160