Search a number
-
+
1078534320 = 243510741999
BaseRepresentation
bin100000001001001…
…0010000010110000
32210011110012221120
41000102102002300
54202101044240
6255004422240
735504250633
oct10022220260
92704405846
101078534320
11503893886
12261247980
131425a63b6
14a3351c1a
1564a45ad0
hex404920b0

1078534320 has 80 divisors (see below), whose sum is σ = 3374784000. Its totient is φ = 284914432.

The previous prime is 1078534279. The next prime is 1078534363. The reversal of 1078534320 is 234358701.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4681 + ... + 46679.

It is an arithmetic number, because the mean of its divisors is an integer number (42184800).

Almost surely, 21078534320 is an apocalyptic number.

1078534320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1078534320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687392000).

1078534320 is an abundant number, since it is smaller than the sum of its proper divisors (2296249680).

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

1078534320 is a wasteful number, since it uses less digits than its factorization.

1078534320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42122 (or 42116 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1078534320 is about 32841.0462683514. The cubic root of 1078534320 is about 1025.5212324196.

The spelling of 1078534320 in words is "one billion, seventy-eight million, five hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 428 535 642 856 1070 1284 1605 1712 2140 2568 3210 4280 5136 6420 8560 12840 25680 41999 83998 125997 167996 209995 251994 335992 419990 503988 629985 671984 839980 1007976 1259970 1679960 2015952 2519940 3359920 4493893 5039880 8987786 10079760 13481679 17975572 22469465 26963358 35951144 44938930 53926716 67408395 71902288 89877860 107853432 134816790 179755720 215706864 269633580 359511440 539267160 1078534320