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42052160 = 265131413
BaseRepresentation
bin1010000001101…
…0101001000000
32221010110201102
42200122221000
541231132120
64101153532
71020303023
oct240325100
987113642
1042052160
1121812457
12120bb8a8
138934947
1458291ba
153a59d75
hex281aa40

42052160 has 28 divisors (see below), whose sum is σ = 100137468. Its totient is φ = 16820736.

The previous prime is 42052147. The next prime is 42052163. The reversal of 42052160 is 6125024.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27793984 + 14258176 = 5272^2 + 3776^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (42052163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65387 + ... + 66026.

Almost surely, 242052160 is an apocalyptic number.

42052160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42052160 is an abundant number, since it is smaller than the sum of its proper divisors (58085308).

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

42052160 is a wasteful number, since it uses less digits than its factorization.

42052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131430 (or 131420 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 42052160 is about 6484.7636811221. The cubic root of 42052160 is about 347.7465014292.

Adding to 42052160 its reverse (6125024), we get a palindrome (48177184).

The spelling of 42052160 in words is "forty-two million, fifty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 131413 262826 525652 657065 1051304 1314130 2102608 2628260 4205216 5256520 8410432 10513040 21026080 42052160