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4064112 = 2432132167
BaseRepresentation
bin1111100000001101110000
321122110220200
433200031300
52020022422
6223035200
746354503
oct17401560
97573820
104064112
112326478
12143bb00
13ac3b00
1477b13a
155542ac
hex3e0370

4064112 has 90 divisors (see below), whose sum is σ = 12389832. Its totient is φ = 1243008.

The previous prime is 4064107. The next prime is 4064113. The reversal of 4064112 is 2114604.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064113) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24253 + ... + 24419.

Almost surely, 24064112 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 4064112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6194916).

4064112 is an abundant number, since it is smaller than the sum of its proper divisors (8325720).

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

4064112 is a wasteful number, since it uses less digits than its factorization.

4064112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4064112 is about 2015.9642853979. The cubic root of 4064112 is about 159.5837094949.

Adding to 4064112 its reverse (2114604), we get a palindrome (6178716).

The spelling of 4064112 in words is "four million, sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 167 169 208 234 312 334 338 468 501 507 624 668 676 936 1002 1014 1336 1352 1503 1521 1872 2004 2028 2171 2672 2704 3006 3042 4008 4056 4342 6012 6084 6513 8016 8112 8684 12024 12168 13026 17368 19539 24048 24336 26052 28223 34736 39078 52104 56446 78156 84669 104208 112892 156312 169338 225784 254007 312624 338676 451568 508014 677352 1016028 1354704 2032056 4064112