Search a number
-
+
544071240 = 233258916981
BaseRepresentation
bin100000011011011…
…101111001001000
31101220202200102200
4200123131321020
52103240234430
6125553200200
716324346346
oct4033357110
91356680380
10544071240
1125a128859
12132260060
1388945a5b
1452388996
1532b71460
hex206dde48

544071240 has 96 divisors (see below), whose sum is σ = 1788204600. Its totient is φ = 143447040.

The previous prime is 544071197. The next prime is 544071287. The reversal of 544071240 is 42170445.

It can be written as a sum of positive squares in 4 ways, for example, as 494706564 + 49364676 = 22242^2 + 7026^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23550 + ... + 40530.

Almost surely, 2544071240 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 544071240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894102300).

544071240 is an abundant number, since it is smaller than the sum of its proper divisors (1244133360).

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

544071240 is a wasteful number, since it uses less digits than its factorization.

544071240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17087 (or 17080 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 544071240 is about 23325.3347242864. The cubic root of 544071240 is about 816.3666532778.

The spelling of 544071240 in words is "five hundred forty-four million, seventy-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 89 90 120 178 180 267 356 360 445 534 712 801 890 1068 1335 1602 1780 2136 2670 3204 3560 4005 5340 6408 8010 10680 16020 16981 32040 33962 50943 67924 84905 101886 135848 152829 169810 203772 254715 305658 339620 407544 509430 611316 679240 764145 1018860 1222632 1511309 1528290 2037720 3022618 3056580 4533927 6045236 6113160 7556545 9067854 12090472 13601781 15113090 18135708 22669635 27203562 30226180 36271416 45339270 54407124 60452360 68008905 90678540 108814248 136017810 181357080 272035620 544071240