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42332160 = 212351353
BaseRepresentation
bin1010000101111…
…1000000000000
32221122200210210
42201133000000
541314112120
64111154120
71022550243
oct241370000
987580723
1042332160
1121993862
1212215940
138a02220
14589d25a
153ab2ce0
hex285f000

42332160 has 208 divisors, whose sum is σ = 148617504. Its totient is φ = 10223616.

The previous prime is 42332153. The next prime is 42332161. The reversal of 42332160 is 6123324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (208).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42332161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798694 + ... + 798746.

Almost surely, 242332160 is an apocalyptic number.

42332160 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 42332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74308752).

42332160 is an abundant number, since it is smaller than the sum of its proper divisors (106285344).

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

42332160 is a wasteful number, since it uses less digits than its factorization.

42332160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 42332160 is about 6506.3169304915. The cubic root of 42332160 is about 348.5166062154.

Adding to 42332160 its reverse (6123324), we get a palindrome (48455484).

The spelling of 42332160 in words is "forty-two million, three hundred thirty-two thousand, one hundred sixty".