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74696640 = 26351723199
BaseRepresentation
bin1000111001111…
…00011111000000
312012112222112020
410130330133000
5123110243030
611225001440
71564624314
oct434743700
9165488466
1074696640
1139189767
1221023280
13126244c5
149cc5b44
156857510
hex473c7c0

74696640 has 224 divisors, whose sum is σ = 263347200. Its totient is φ = 17842176.

The previous prime is 74696627. The next prime is 74696641. The reversal of 74696640 is 4669647.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 74696592 and 74696601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74696641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 375261 + ... + 375459.

Almost surely, 274696640 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 74696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131673600).

74696640 is an abundant number, since it is smaller than the sum of its proper divisors (188650560).

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

74696640 is a wasteful number, since it uses less digits than its factorization.

74696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 74696640 is about 8642.7217935093. The cubic root of 74696640 is about 421.1469782438.

The spelling of 74696640 in words is "seventy-four million, six hundred ninety-six thousand, six hundred forty".