Search a number
-
+
542865840 = 243511613371
BaseRepresentation
bin100000010110110…
…111100110110000
31101211111102221020
4200112313212300
52102433201330
6125511255440
716311166146
oct4026674660
91354442836
10542865840
11259485160
1213197a580
13886131ba
1452153596
15329d4210
hex205b79b0

542865840 has 160 divisors (see below), whose sum is σ = 1866523392. Its totient is φ = 129408000.

The previous prime is 542865821. The next prime is 542865847. The reversal of 542865840 is 48568245.

It is a junction number, because it is equal to n+sod(n) for n = 542865792 and 542865801.

It is not an unprimeable number, because it can be changed into a prime (542865847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159355 + ... + 162725.

Almost surely, 2542865840 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 542865840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933261696).

542865840 is an abundant number, since it is smaller than the sum of its proper divisors (1323657552).

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

542865840 is a wasteful number, since it uses less digits than its factorization.

542865840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 542865840 is about 23299.4815392961. The cubic root of 542865840 is about 815.7633156306.

The spelling of 542865840 in words is "five hundred forty-two million, eight hundred sixty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 61 66 80 88 110 120 122 132 165 176 183 220 240 244 264 305 330 366 440 488 528 610 660 671 732 880 915 976 1220 1320 1342 1464 1830 2013 2440 2640 2684 2928 3355 3371 3660 4026 4880 5368 6710 6742 7320 8052 10065 10113 10736 13420 13484 14640 16104 16855 20130 20226 26840 26968 32208 33710 37081 40260 40452 50565 53680 53936 67420 74162 80520 80904 101130 111243 134840 148324 161040 161808 185405 202260 205631 222486 269680 296648 370810 404520 411262 444972 556215 593296 616893 741620 809040 822524 889944 1028155 1112430 1233786 1483240 1645048 1779888 2056310 2224860 2261941 2467572 2966480 3084465 3290096 4112620 4449720 4523882 4935144 6168930 6785823 8225240 8899440 9047764 9870288 11309705 12337860 13571646 16450480 18095528 22619410 24675720 27143292 33929115 36191056 45238820 49351440 54286584 67858230 90477640 108573168 135716460 180955280 271432920 542865840