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67650000 = 243551141
BaseRepresentation
bin1000000100001…
…00000111010000
311201021222100120
410002010013100
5114304300000
610413550240
71451005215
oct402040720
9151258316
1067650000
11352064a0
121a7a5380
1311027cb2
148dadb0c
155e146a0
hex40841d0

67650000 has 240 divisors, whose sum is σ = 244109376. Its totient is φ = 16000000.

The previous prime is 67649999. The next prime is 67650043. The reversal of 67650000 is 5676.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1649980 + ... + 1650020.

Almost surely, 267650000 is an apocalyptic number.

67650000 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 67650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122054688).

67650000 is an abundant number, since it is smaller than the sum of its proper divisors (176459376).

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

67650000 is a wasteful number, since it uses less digits than its factorization.

67650000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 67650000 is about 8224.9620059913. The cubic root of 67650000 is about 407.4640213132.

Adding to 67650000 its reverse (5676), we get a palindrome (67655676).

The spelling of 67650000 in words is "sixty-seven million, six hundred fifty thousand".