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67272640 = 265434889
BaseRepresentation
bin1000000001001…
…11111111000000
311200120210201021
410000213333000
5114210211030
610401515224
71444544101
oct400477700
9150523637
1067272640
1134a78a26
121a642b14
1310c252c6
148d123a8
155d8c97a
hex4027fc0

67272640 has 56 divisors (see below), whose sum is σ = 163951920. Its totient is φ = 26277888.

The previous prime is 67272637. The next prime is 67272641. The reversal of 67272640 is 4627276.

It is a junction number, because it is equal to n+sod(n) for n = 67272596 and 67272605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67272641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11316 + ... + 16204.

Almost surely, 267272640 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 67272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81975960).

67272640 is an abundant number, since it is smaller than the sum of its proper divisors (96679280).

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

67272640 is a wasteful number, since it uses less digits than its factorization.

67272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4949 (or 4939 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 67272640 is about 8201.9900024323. The cubic root of 67272640 is about 406.7049801162.

The spelling of 67272640 in words is "sixty-seven million, two hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 1376 1720 2752 3440 4889 6880 9778 13760 19556 24445 39112 48890 78224 97780 156448 195560 210227 312896 391120 420454 782240 840908 1051135 1564480 1681816 2102270 3363632 4204540 6727264 8409080 13454528 16818160 33636320 67272640