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67870440 = 233351129197
BaseRepresentation
bin1000000101110…
…01111011101000
311201201011202000
410002321323220
5114333323230
610422411000
71452614001
oct402717350
9151634660
1067870440
1135347080
121a890a60
13110a4431
14902a1a8
155e59b60
hex40b9ee8

67870440 has 256 divisors, whose sum is σ = 256608000. Its totient is φ = 15805440.

The previous prime is 67870433. The next prime is 67870519. The reversal of 67870440 is 4407876.

It is a happy number.

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 = 67870395 and 67870404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344422 + ... + 344618.

It is an arithmetic number, because the mean of its divisors is an integer number (1002375).

Almost surely, 267870440 is an apocalyptic number.

67870440 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 67870440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128304000).

67870440 is an abundant number, since it is smaller than the sum of its proper divisors (188737560).

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

67870440 is a wasteful number, since it uses less digits than its factorization.

67870440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 67870440 is about 8238.3517769030. The cubic root of 67870440 is about 407.9061202687.

The spelling of 67870440 in words is "sixty-seven million, eight hundred seventy thousand, four hundred forty".