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741780 = 2232513317
BaseRepresentation
bin10110101000110010100
31101200112100
42311012110
5142214110
623522100
76206424
oct2650624
91350470
10741780
11467346
122b9330
131cc830
14154484
15e9bc0
hexb5194

741780 has 72 divisors (see below), whose sum is σ = 2430792. Its totient is φ = 182016.

The previous prime is 741721. The next prime is 741781. The reversal of 741780 is 87147.

It can be written as a sum of positive squares in 4 ways, for example, as 15876 + 725904 = 126^2 + 852^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741781) by changing a digit.

741780 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2182 + ... + 2498.

It is an arithmetic number, because the mean of its divisors is an integer number (33761).

2741780 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 741780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215396).

741780 is an abundant number, since it is smaller than the sum of its proper divisors (1689012).

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

741780 is a wasteful number, since it uses less digits than its factorization.

741780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 741780 is about 861.2665092757. The cubic root of 741780 is about 90.5228822007.

It can be divided in two parts, 741 and 780, that added together give a square (1521 = 392).

The spelling of 741780 in words is "seven hundred forty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 317 390 468 585 634 780 951 1170 1268 1585 1902 2340 2853 3170 3804 4121 4755 5706 6340 8242 9510 11412 12363 14265 16484 19020 20605 24726 28530 37089 41210 49452 57060 61815 74178 82420 123630 148356 185445 247260 370890 741780