Search a number
-
+
968058240 = 2735504197
BaseRepresentation
bin111001101100110…
…110010110000000
32111110120110020220
4321230312112000
53440310330430
6240020503040
732663234142
oct7154662600
92443513226
10968058240
11457497536
1223024aa80
13125735436
14927d4c92
1559ec2110
hex39b36580

968058240 has 64 divisors (see below), whose sum is σ = 3085691760. Its totient is φ = 258148352.

The previous prime is 968058191. The next prime is 968058263. The reversal of 968058240 is 42850869.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 968058192 and 968058201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250179 + ... + 254018.

Almost surely, 2968058240 is an apocalyptic number.

It is an amenable number.

968058240 is an abundant number, since it is smaller than the sum of its proper divisors (2117633520).

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

968058240 is a wasteful number, since it uses less digits than its factorization.

968058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504219 (or 504207 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 968058240 is about 31113.6343103791. The cubic root of 968058240 is about 989.2373271040.

The spelling of 968058240 in words is "nine hundred sixty-eight million, fifty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 504197 1008394 1512591 2016788 2520985 3025182 4033576 5041970 6050364 7562955 8067152 10083940 12100728 15125910 16134304 20167880 24201456 30251820 32268608 40335760 48402912 60503640 64537216 80671520 96805824 121007280 161343040 193611648 242014560 322686080 484029120 968058240