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741105040 = 24513712601
BaseRepresentation
bin101100001011000…
…101110110010000
31220122112000222211
4230023011312100
53004210330130
6201312241504
724236201044
oct5413056620
91818460884
10741105040
11350375205
12188240294
13ba701bc0
14705d8024
15450e1a2a
hex2c2c5d90

741105040 has 40 divisors (see below), whose sum is σ = 1855615608. Its totient is φ = 273638400.

The previous prime is 741105037. The next prime is 741105067. The reversal of 741105040 is 40501147.

It can be written as a sum of positive squares in 4 ways, for example, as 97772544 + 643332496 = 9888^2 + 25364^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 355261 + ... + 357340.

Almost surely, 2741105040 is an apocalyptic number.

It is an amenable number.

741105040 is an abundant number, since it is smaller than the sum of its proper divisors (1114510568).

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

741105040 is a wasteful number, since it uses less digits than its factorization.

741105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712627 (or 712621 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 741105040 is about 27223.2444796721. The cubic root of 741105040 is about 904.9541769377.

Adding to 741105040 its reverse (40501147), we get a palindrome (781606187).

The spelling of 741105040 in words is "seven hundred forty-one million, one hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 712601 1425202 2850404 3563005 5700808 7126010 9263813 11401616 14252020 18527626 28504040 37055252 46319065 57008080 74110504 92638130 148221008 185276260 370552520 741105040