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74940096 = 26371137137
BaseRepresentation
bin1000111011101…
…11111011000000
312020000100111010
410131313323000
5123141040341
611234120520
71566660150
oct435677300
9166010433
1074940096
1139335670
1221120140
13126ab26a
149d4a760
1568a4716
hex4777ec0

74940096 has 224 divisors, whose sum is σ = 255739392. Its totient is φ = 18800640.

The previous prime is 74940077. The next prime is 74940109. The reversal of 74940096 is 69004947.

It is a tau number, because it is divible by the number of its divisors (224).

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, 546940 + ... + 547076.

Almost surely, 274940096 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 74940096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127869696).

74940096 is an abundant number, since it is smaller than the sum of its proper divisors (180799296).

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

74940096 is a wasteful number, since it uses less digits than its factorization.

74940096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 74940096 is about 8656.7947879108. The cubic root of 74940096 is about 421.6040249884.

The spelling of 74940096 in words is "seventy-four million, nine hundred forty thousand, ninety-six".