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67285440 = 2632561383
BaseRepresentation
bin1000000001010…
…11000111000000
311200121110021100
410000223013000
5114211113230
610402054400
71444626315
oct400530700
9150543240
1067285440
1134a87602
121a64a400
1310c2b091
148d16d0c
155d91660
hex402b1c0

67285440 has 168 divisors, whose sum is σ = 235842048. Its totient is φ = 17602560.

The previous prime is 67285433. The next prime is 67285447. The reversal of 67285440 is 4458276.

It is an interprime number because it is at equal distance from previous prime (67285433) and next prime (67285447).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67285395 and 67285404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67285447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175489 + ... + 175871.

Almost surely, 267285440 is an apocalyptic number.

67285440 is a gapful number since it is divisible by the number (60) 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 67285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117921024).

67285440 is an abundant number, since it is smaller than the sum of its proper divisors (168556608).

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

67285440 is a wasteful number, since it uses less digits than its factorization.

67285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 67285440 is about 8202.7702637585. The cubic root of 67285440 is about 406.7307731361.

The spelling of 67285440 in words is "sixty-seven million, two hundred eighty-five thousand, four hundred forty".