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1133220320 = 25541227761
BaseRepresentation
bin100001110001011…
…1001000111100000
32220222100120000222
41003202321013200
54310101022240
6304240502212
740040133221
oct10342710740
92828316028
101133220320
11531745221
1227761a968
13150a1268b
14aa709248
1569748eb5
hex438b91e0

1133220320 has 96 divisors (see below), whose sum is σ = 2758232736. Its totient is φ = 439705600.

The previous prime is 1133220313. The next prime is 1133220329. The reversal of 1133220320 is 230223311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133220329) by changing a digit.

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, 1488740 + ... + 1489500.

It is an arithmetic number, because the mean of its divisors is an integer number (28731591).

Almost surely, 21133220320 is an apocalyptic number.

1133220320 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 1133220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379116368).

1133220320 is an abundant number, since it is smaller than the sum of its proper divisors (1625012416).

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

1133220320 is a wasteful number, since it uses less digits than its factorization.

1133220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1133220320 is about 33663.3379212460. The cubic root of 1133220320 is about 1042.5689449809.

Adding to 1133220320 its reverse (230223311), we get a palindrome (1363443631).

The spelling of 1133220320 in words is "one billion, one hundred thirty-three million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 227 328 410 454 656 761 820 908 1135 1312 1522 1640 1816 2270 3044 3280 3632 3805 4540 6088 6560 7264 7610 9080 9307 12176 15220 18160 18614 24352 30440 31201 36320 37228 46535 60880 62402 74456 93070 121760 124804 148912 156005 172747 186140 249608 297824 312010 345494 372280 499216 624020 690988 744560 863735 998432 1248040 1381976 1489120 1727470 2496080 2763952 3454940 4992160 5527904 6909880 7082627 13819760 14165254 27639520 28330508 35413135 56661016 70826270 113322032 141652540 226644064 283305080 566610160 1133220320