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67674960 = 24335171997
BaseRepresentation
bin1000000100010…
…10001101010000
311201100020121000
410002022031100
5114311044320
610414302000
71451141043
oct402121520
9151306530
1067674960
1135223221
121a7b7900
1311036472
148db8c5a
155e1bc90
hex408a350

67674960 has 320 divisors, whose sum is σ = 262483200. Its totient is φ = 15925248.

The previous prime is 67674931. The next prime is 67674973. The reversal of 67674960 is 6947676.

It is a super-2 number, since 2×676749602 = 9159800422003200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 697632 + ... + 697728.

It is an arithmetic number, because the mean of its divisors is an integer number (820260).

Almost surely, 267674960 is an apocalyptic number.

67674960 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 67674960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

67674960 is an abundant number, since it is smaller than the sum of its proper divisors (194808240).

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

67674960 is a wasteful number, since it uses less digits than its factorization.

67674960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 67674960 is about 8226.4791982962. The cubic root of 67674960 is about 407.5141275040.

The spelling of 67674960 in words is "sixty-seven million, six hundred seventy-four thousand, nine hundred sixty".