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74943540 = 223257229293
BaseRepresentation
bin1000111011110…
…00110000110100
312020000112012200
410131320300310
5123141143130
611234144500
71600003200
oct435706064
9166015180
1074943540
1139338211
1221122130
13126ac9b9
149d4bb00
1568a5760
hex4778c34

74943540 has 216 divisors, whose sum is σ = 274496040. Its totient is φ = 16482816.

The previous prime is 74943503. The next prime is 74943551. The reversal of 74943540 is 4534947.

74943540 is a `hidden beast` number, since 74 + 9 + 43 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24561936 + 50381604 = 4956^2 + 7098^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74943495 and 74943504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 255634 + ... + 255926.

It is an arithmetic number, because the mean of its divisors is an integer number (1270815).

Almost surely, 274943540 is an apocalyptic number.

74943540 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 74943540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137248020).

74943540 is an abundant number, since it is smaller than the sum of its proper divisors (199552500).

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

74943540 is a wasteful number, since it uses less digits than its factorization.

74943540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 74943540 is about 8656.9937045143. The cubic root of 74943540 is about 421.6104834003.

The spelling of 74943540 in words is "seventy-four million, nine hundred forty-three thousand, five hundred forty".