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67418112 = 211310973
BaseRepresentation
bin1000000010010…
…11100000000000
311200212012021010
410001023200000
5114224334422
610405000520
71446021156
oct401134000
9150765233
1067418112
1135068253
121a6b3140
1310c76598
148d4d3d6
155dbab0c
hex404b800

67418112 has 48 divisors (see below), whose sum is σ = 179754120. Its totient is φ = 22470656.

The previous prime is 67418093. The next prime is 67418119. The reversal of 67418112 is 21181476.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 67418112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67418119) 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, 658 + ... + 11630.

Almost surely, 267418112 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 67418112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89877060).

67418112 is an abundant number, since it is smaller than the sum of its proper divisors (112336008).

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

67418112 is a wasteful number, since it uses less digits than its factorization.

67418112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10998 (or 10978 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 67418112 is about 8210.8533052296. The cubic root of 67418112 is about 406.9979253215.

Adding to 67418112 its reverse (21181476), we get a palindrome (88599588).

The spelling of 67418112 in words is "sixty-seven million, four hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 10973 21946 32919 43892 65838 87784 131676 175568 263352 351136 526704 702272 1053408 1404544 2106816 2809088 4213632 5618176 8427264 11236352 16854528 22472704 33709056 67418112