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74942560 = 2557211279
BaseRepresentation
bin1000111011110…
…00100001100000
312020000110212101
410131320201200
5123141130220
611234140144
71600000300
oct435704140
9166013771
1074942560
1139337500
1221121654
13126ac414
149d4b600
1568a530a
hex4778860

74942560 has 216 divisors, whose sum is σ = 229249440. Its totient is φ = 23063040.

The previous prime is 74942551. The next prime is 74942561. The reversal of 74942560 is 6524947.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74942561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 948601 + ... + 948679.

It is an arithmetic number, because the mean of its divisors is an integer number (1061340).

Almost surely, 274942560 is an apocalyptic number.

74942560 is a gapful number since it is divisible by the number (70) 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 74942560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114624720).

74942560 is an abundant number, since it is smaller than the sum of its proper divisors (154306880).

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

74942560 is a wasteful number, since it uses less digits than its factorization.

74942560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 74942560 is about 8656.9371026940. The cubic root of 74942560 is about 421.6086456609.

The spelling of 74942560 in words is "seventy-four million, nine hundred forty-two thousand, five hundred sixty".