Search a number
-
+
942000540 = 2235131916323
BaseRepresentation
bin111000001001011…
…100100110011100
32102122112120210220
4320021130212130
53412123004130
6233250201340
732225605155
oct7011344634
92378476726
10942000540
11443809a48
12223583250
13120210990
148d17092c
1557a76410
hex3825c99c

942000540 has 96 divisors (see below), whose sum is σ = 2855817216. Its totient is φ = 230626560.

The previous prime is 942000539. The next prime is 942000547. The reversal of 942000540 is 45000249.

It is a self number, because there is not a number n which added to its sum of digits gives 942000540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (942000547) 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, 145819 + ... + 152141.

It is an arithmetic number, because the mean of its divisors is an integer number (29748096).

Almost surely, 2942000540 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 942000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427908608).

942000540 is an abundant number, since it is smaller than the sum of its proper divisors (1913816676).

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

942000540 is a wasteful number, since it uses less digits than its factorization.

942000540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6539 (or 6537 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 942000540 is about 30692.0273035197. The cubic root of 942000540 is about 980.2805458081.

Adding to 942000540 its reverse (45000249), we get a palindrome (987000789).

The spelling of 942000540 in words is "nine hundred forty-two million, five hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 191 195 260 382 390 573 764 780 955 1146 1910 2292 2483 2865 3820 4966 5730 6323 7449 9932 11460 12415 12646 14898 18969 24830 25292 29796 31615 37245 37938 49660 63230 74490 75876 82199 94845 126460 148980 164398 189690 246597 328796 379380 410995 493194 821990 986388 1207693 1232985 1643980 2415386 2465970 3623079 4830772 4931940 6038465 7246158 12076930 14492316 15700009 18115395 24153860 31400018 36230790 47100027 62800036 72461580 78500045 94200054 157000090 188400108 235500135 314000180 471000270 942000540