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740006880 = 25351541681
BaseRepresentation
bin101100000110111…
…001101111100000
31220120110020121020
4230012321233200
53003420210010
6201232525440
724223645314
oct5406715740
91816406536
10740006880
1134a795138
121879b0880
13ba4090c2
14703cdb44
1544e76470
hex2c1b9be0

740006880 has 48 divisors (see below), whose sum is σ = 2331023184. Its totient is φ = 197335040.

The previous prime is 740006873. The next prime is 740006887. The reversal of 740006880 is 88600047.

740006880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (740006873) and next prime (740006887).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×7400068802 = 1095220364894668800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (740006887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 770361 + ... + 771320.

It is an arithmetic number, because the mean of its divisors is an integer number (48562983).

Almost surely, 2740006880 is an apocalyptic number.

It is an amenable number.

740006880 is an abundant number, since it is smaller than the sum of its proper divisors (1591016304).

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

740006880 is a wasteful number, since it uses less digits than its factorization.

740006880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541699 (or 1541691 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 740006880 is about 27203.0674740920. The cubic root of 740006880 is about 904.5069727904.

The spelling of 740006880 in words is "seven hundred forty million, six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1541681 3083362 4625043 6166724 7708405 9250086 12333448 15416810 18500172 23125215 24666896 30833620 37000344 46250430 49333792 61667240 74000688 92500860 123334480 148001376 185001720 246668960 370003440 740006880