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67438980 = 22345719313
BaseRepresentation
bin1000000010100…
…00100110000100
311200220020220000
410001100212010
5114231021410
610405241300
71446136050
oct401204604
9150806800
1067438980
11350819a4
121a703230
1310c82c2b
148d56c60
155dc1dc0
hex4050984

67438980 has 240 divisors, whose sum is σ = 255319680. Its totient is φ = 14556672.

The previous prime is 67438951. The next prime is 67439027. The reversal of 67438980 is 8983476.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 215304 + ... + 215616.

It is an arithmetic number, because the mean of its divisors is an integer number (1063832).

Almost surely, 267438980 is an apocalyptic number.

67438980 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 67438980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127659840).

67438980 is an abundant number, since it is smaller than the sum of its proper divisors (187880700).

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

67438980 is a wasteful number, since it uses less digits than its factorization.

67438980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 67438980 is about 8212.1239639937. The cubic root of 67438980 is about 407.0399138233.

The spelling of 67438980 in words is "sixty-seven million, four hundred thirty-eight thousand, nine hundred eighty".