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740605680 = 243851783
BaseRepresentation
bin101100001001001…
…011111011110000
31220121120200000000
4230021023323300
53004043340210
6201253430000
724232021143
oct5411137360
91817520000
10740605680
11350064011
1218803b300
13ba588819
147050805a
1545043ac0
hex2c24bef0

740605680 has 360 divisors, whose sum is σ = 2767604112. Its totient is φ = 183638016.

The previous prime is 740605667. The next prime is 740605699. The reversal of 740605680 is 86506047.

It is a happy number.

740605680 is a `hidden beast` number, since 7 + 40 + 605 + 6 + 8 + 0 = 666.

740605680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8922919 + ... + 8923001.

Almost surely, 2740605680 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 740605680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383802056).

740605680 is an abundant number, since it is smaller than the sum of its proper divisors (2026998432).

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

740605680 is an equidigital number, since it uses as much as digits as its factorization.

740605680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 740605680 is about 27214.0713602357. The cubic root of 740605680 is about 904.7508771676.

The spelling of 740605680 in words is "seven hundred forty million, six hundred five thousand, six hundred eighty".