Search a number
-
+
74891040 = 2535731719
BaseRepresentation
bin1000111011010…
…11111100100000
312012220212012020
410131223330200
5123133003130
611233101440
71566364140
oct435537440
9165825166
1074891040
1139301824
12210b7880
1312691b33
149d36920
156894e10
hex476bf20

74891040 has 192 divisors, whose sum is σ = 278691840. Its totient is φ = 16542720.

The previous prime is 74891029. The next prime is 74891083. The reversal of 74891040 is 4019847.

It is a junction number, because it is equal to n+sod(n) for n = 74890992 and 74891010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103801 + ... + 104519.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 274891040 is an apocalyptic number.

74891040 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 74891040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

74891040 is an abundant number, since it is smaller than the sum of its proper divisors (203800800).

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

74891040 is a wasteful number, since it uses less digits than its factorization.

74891040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 74891040 is about 8653.9609428284. The cubic root of 74891040 is about 421.5120105098.

The spelling of 74891040 in words is "seventy-four million, eight hundred ninety-one thousand, forty".