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741403680 = 25351798629
BaseRepresentation
bin101100001100001…
…110110000100000
31220200002012122120
4230030032300200
53004244404210
6201322504240
724241553523
oct5414166040
91820065576
10741403680
11350559616
12188365080
13ba7a7b04
1470674bba
1545150270
hex2c30ec20

741403680 has 96 divisors (see below), whose sum is σ = 2348740800. Its totient is φ = 196580352.

The previous prime is 741403679. The next prime is 741403717. The reversal of 741403680 is 86304147.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81606 + ... + 90234.

It is an arithmetic number, because the mean of its divisors is an integer number (24466050).

Almost surely, 2741403680 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 741403680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174370400).

741403680 is an abundant number, since it is smaller than the sum of its proper divisors (1607337120).

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

741403680 is a wasteful number, since it uses less digits than its factorization.

741403680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8826 (or 8818 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 741403680 is about 27228.7289457294. The cubic root of 741403680 is about 905.0757158144.

The spelling of 741403680 in words is "seven hundred forty-one million, four hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 179 240 358 480 537 716 895 1074 1432 1790 2148 2685 2864 3580 4296 5370 5728 7160 8592 8629 10740 14320 17184 17258 21480 25887 28640 34516 42960 43145 51774 69032 85920 86290 103548 129435 138064 172580 207096 258870 276128 345160 414192 517740 690320 828384 1035480 1380640 1544591 2070960 3089182 4141920 4633773 6178364 7722955 9267546 12356728 15445910 18535092 23168865 24713456 30891820 37070184 46337730 49426912 61783640 74140368 92675460 123567280 148280736 185350920 247134560 370701840 741403680