Search a number
-
+
1126223400 = 233524739937
BaseRepresentation
bin100001100100000…
…1100111000101000
32220111012002001210
41003020030320220
54301303122100
6303430513120
736623512101
oct10310147050
92814162053
101126223400
115287a6345
122752057a0
1314c4329a3
14a98073a8
1568d15c50
hex4320ce28

1126223400 has 96 divisors (see below), whose sum is σ = 3565664640. Its totient is φ = 293928960.

The previous prime is 1126223393. The next prime is 1126223401. The reversal of 1126223400 is 43226211.

It is not an unprimeable number, because it can be changed into a prime (1126223401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8232 + ... + 48168.

It is an arithmetic number, because the mean of its divisors is an integer number (37142340).

Almost surely, 21126223400 is an apocalyptic number.

1126223400 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 1126223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782832320).

1126223400 is an abundant number, since it is smaller than the sum of its proper divisors (2439441240).

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

1126223400 is a wasteful number, since it uses less digits than its factorization.

1126223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40003 (or 39994 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1126223400 is about 33559.2520774823. The cubic root of 1126223400 is about 1040.4187785857.

Adding to 1126223400 its reverse (43226211), we get a palindrome (1169449611).

The spelling of 1126223400 in words is "one billion, one hundred twenty-six million, two hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 141 150 188 200 235 282 300 376 470 564 600 705 940 1128 1175 1410 1880 2350 2820 3525 4700 5640 7050 9400 14100 28200 39937 79874 119811 159748 199685 239622 319496 399370 479244 599055 798740 958488 998425 1198110 1597480 1877039 1996850 2396220 2995275 3754078 3993700 4792440 5631117 5990550 7508156 7987400 9385195 11262234 11981100 15016312 18770390 22524468 23962200 28155585 37540780 45048936 46925975 56311170 75081560 93851950 112622340 140777925 187703900 225244680 281555850 375407800 563111700 1126223400