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320041540 = 225721325121
BaseRepresentation
bin10011000100110…
…111001001000100
3211022012210110101
4103010313021010
51123412312130
651431333444
710634210500
oct2304671104
9738183411
10320041540
11154722a45
128b221284
13513c70c0
143070d300
151d16c1ca
hex13137244

320041540 has 72 divisors (see below), whose sum is σ = 841988952. Its totient is φ = 101283840.

The previous prime is 320041537. The next prime is 320041543. The reversal of 320041540 is 45140023.

It is an interprime number because it is at equal distance from previous prime (320041537) and next prime (320041543).

It can be written as a sum of positive squares in 4 ways, for example, as 3415104 + 316626436 = 1848^2 + 17794^2 .

It is not an unprimeable number, because it can be changed into a prime (320041543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180 + ... + 25300.

It is an arithmetic number, because the mean of its divisors is an integer number (11694291).

Almost surely, 2320041540 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 320041540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420994476).

320041540 is an abundant number, since it is smaller than the sum of its proper divisors (521947412).

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

320041540 is a wasteful number, since it uses less digits than its factorization.

320041540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25157 (or 25148 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 320041540 is about 17889.7048606175. The cubic root of 320041540 is about 684.0199742238.

Adding to 320041540 its reverse (45140023), we get a palindrome (365181563).

The spelling of 320041540 in words is "three hundred twenty million, forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740 25121 50242 100484 125605 175847 251210 326573 351694 502420 653146 703388 879235 1230929 1306292 1632865 1758470 2286011 2461858 3265730 3516940 4572022 4923716 6154645 6531460 9144044 11430055 12309290 16002077 22860110 24618580 32004154 45720220 64008308 80010385 160020770 320041540