Search a number
-
+
1042323360 = 253513167039
BaseRepresentation
bin111110001000001…
…001011110100000
32200122022111211220
4332020021132200
54113313321420
6251232335040
734554413421
oct7610113640
92618274756
101042323360
11495400a71
122510a4480
13137c383b0
149c607648
1561791840
hex3e2097a0

1042323360 has 96 divisors (see below), whose sum is σ = 3535902720. Its totient is φ = 256570368.

The previous prime is 1042323353. The next prime is 1042323389. The reversal of 1042323360 is 633232401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1042323360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77280 + ... + 89759.

It is an arithmetic number, because the mean of its divisors is an integer number (36832320).

Almost surely, 21042323360 is an apocalyptic number.

1042323360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042323360 is an abundant number, since it is smaller than the sum of its proper divisors (2493579360).

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

1042323360 is a wasteful number, since it uses less digits than its factorization.

1042323360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167070 (or 167062 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 1042323360 is about 32285.0330648739. The cubic root of 1042323360 is about 1013.9133087268.

Adding to 1042323360 its reverse (633232401), we get a palindrome (1675555761).

The spelling of 1042323360 in words is "one billion, forty-two million, three hundred twenty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 167039 334078 501117 668156 835195 1002234 1336312 1670390 2004468 2171507 2505585 2672624 3340780 4008936 4343014 5011170 5345248 6514521 6681560 8017872 8686028 10022340 10857535 13029042 13363120 16035744 17372056 20044680 21715070 26058084 26726240 32572605 34744112 40089360 43430140 52116168 65145210 69488224 80178720 86860280 104232336 130290420 173720560 208464672 260580840 347441120 521161680 1042323360