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67676840 = 23572114373
BaseRepresentation
bin1000000100010…
…10101010101000
311201100100011122
410002022222220
5114311124330
610414314412
71451146400
oct402125250
9151310148
1067676840
1135224680
121a7b8a08
131103728a
148db9800
155e1c5e5
hex408aaa8

67676840 has 192 divisors, whose sum is σ = 200439360. Its totient is φ = 20321280.

The previous prime is 67676831. The next prime is 67676849. The reversal of 67676840 is 4867676.

It is an interprime number because it is at equal distance from previous prime (67676831) and next prime (67676849).

It is a Smith number, since the sum of its digits (44) 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 (44).

It is a junction number, because it is equal to n+sod(n) for n = 67676791 and 67676800.

It is not an unprimeable number, because it can be changed into a prime (67676849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927044 + ... + 927116.

It is an arithmetic number, because the mean of its divisors is an integer number (1043955).

Almost surely, 267676840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67676840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100219680).

67676840 is an abundant number, since it is smaller than the sum of its proper divisors (132762520).

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

67676840 is a wasteful number, since it uses less digits than its factorization.

67676840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The square root of 67676840 is about 8226.5934626673. The cubic root of 67676840 is about 407.5179010290.

The spelling of 67676840 in words is "sixty-seven million, six hundred seventy-six thousand, eight hundred forty".