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745191040 = 27511151701
BaseRepresentation
bin101100011010101…
…011011010000000
31220221012121221011
4230122223122000
53011232103130
6201540010304
724316006426
oct5432533200
91827177834
10745191040
11352706070
12189690994
13bb502959
1470d7d116
154564c52a
hex2c6ab680

745191040 has 128 divisors (see below), whose sum is σ = 1959085440. Its totient is φ = 268800000.

The previous prime is 745191023. The next prime is 745191049. The reversal of 745191040 is 40191547.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 745190993 and 745191011.

It is not an unprimeable number, because it can be changed into a prime (745191049) 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 15 ways as a sum of consecutive naturals, for example, 1062690 + ... + 1063390.

It is an arithmetic number, because the mean of its divisors is an integer number (15305355).

Almost surely, 2745191040 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 745191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979542720).

745191040 is an abundant number, since it is smaller than the sum of its proper divisors (1213894400).

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

745191040 is a wasteful number, since it uses less digits than its factorization.

745191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 745191040 is about 27298.1874856189. The cubic root of 745191040 is about 906.6142511029.

The spelling of 745191040 in words is "seven hundred forty-five million, one hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 151 160 176 220 302 320 352 440 604 640 701 704 755 880 1208 1402 1408 1510 1661 1760 2416 2804 3020 3322 3505 3520 4832 5608 6040 6644 7010 7040 7711 8305 9664 11216 12080 13288 14020 15422 16610 19328 22432 24160 26576 28040 30844 33220 38555 44864 48320 53152 56080 61688 66440 77110 89728 96640 105851 106304 112160 123376 132880 154220 211702 212608 224320 246752 265760 308440 423404 448640 493504 529255 531520 616880 846808 987008 1058510 1063040 1164361 1233760 1693616 2117020 2328722 2467520 3387232 4234040 4657444 4935040 5821805 6774464 8468080 9314888 11643610 13548928 16936160 18629776 23287220 33872320 37259552 46574440 67744640 74519104 93148880 149038208 186297760 372595520 745191040