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67030080 = 26351341131
BaseRepresentation
bin1111111110110…
…0110001000000
311200010110222120
43333230301000
5114124430310
610352404240
71442513655
oct377546100
9150113876
1067030080
1134922767
121a546680
1310b6ba90
148c8bc2c
155d40b70
hex3fecc40

67030080 has 224 divisors, whose sum is σ = 236573568. Its totient is φ = 15974400.

The previous prime is 67030069. The next prime is 67030087. The reversal of 67030080 is 8003076.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 67030080.

It is not an unprimeable number, because it can be changed into a prime (67030087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511615 + ... + 511745.

It is an arithmetic number, because the mean of its divisors is an integer number (1056132).

Almost surely, 267030080 is an apocalyptic number.

67030080 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 67030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118286784).

67030080 is an abundant number, since it is smaller than the sum of its proper divisors (169543488).

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

67030080 is a wasteful number, since it uses less digits than its factorization.

67030080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 67030080 is about 8187.1899941311. The cubic root of 67030080 is about 406.2155827253.

The spelling of 67030080 in words is "sixty-seven million, thirty thousand, eighty".