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740754560 = 27572132379
BaseRepresentation
bin101100001001110…
…000010010000000
31220121212020020002
4230021300102000
53004113121220
6201300535132
724233211200
oct5411602200
91817766202
10740754560
11350155957
121880b14a8
13ba60b510
1470546400
1545072c75
hex2c270480

740754560 has 384 divisors, whose sum is σ = 2344204800. Its totient is φ = 221405184.

The previous prime is 740754557. The next prime is 740754563. The reversal of 740754560 is 65457047.

It is an interprime number because it is at equal distance from previous prime (740754557) and next prime (740754563).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (740754563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9376601 + ... + 9376679.

It is an arithmetic number, because the mean of its divisors is an integer number (6104700).

Almost surely, 2740754560 is an apocalyptic number.

740754560 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 740754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172102400).

740754560 is an abundant number, since it is smaller than the sum of its proper divisors (1603450240).

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

740754560 is a wasteful number, since it uses less digits than its factorization.

740754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 38.

The square root of 740754560 is about 27216.8065724104. The cubic root of 740754560 is about 904.8114988494.

The spelling of 740754560 in words is "seven hundred forty million, seven hundred fifty-four thousand, five hundred sixty".