Search a number
-
+
1133466888 = 2331931181443
BaseRepresentation
bin100001110001111…
…0101010100001000
32220222211002021010
41003203311110020
54310131420023
6304250043520
740042211121
oct10343652410
92828732233
101133466888
115318a34a4
122777195a0
13150a9a988
14aa771048
1569797093
hex438f5508

1133466888 has 128 divisors (see below), whose sum is σ = 3103027200. Its totient is φ = 343699200.

The previous prime is 1133466871. The next prime is 1133466913. The reversal of 1133466888 is 8886643311.

It is a Cunningham number, because it is equal to 336672-1.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

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 31 ways as a sum of consecutive naturals, for example, 2558395 + ... + 2558837.

It is an arithmetic number, because the mean of its divisors is an integer number (24242400).

Almost surely, 21133466888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133466888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551513600).

1133466888 is an abundant number, since it is smaller than the sum of its proper divisors (1969560312).

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

1133466888 is a wasteful number, since it uses less digits than its factorization.

1133466888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 679 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 1133466888 is about 33666.9999851487. Note that the first 4 decimals coincide. The cubic root of 1133466888 is about 1042.6445541374.

The spelling of 1133466888 in words is "one billion, one hundred thirty-three million, four hundred sixty-six thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 181 186 228 248 362 372 443 456 543 589 724 744 886 1086 1178 1329 1448 1767 1772 2172 2356 2658 3439 3534 3544 4344 4712 5316 5611 6878 7068 8417 10317 10632 11222 13733 13756 14136 16833 16834 20634 22444 25251 27466 27512 33666 33668 41199 41268 44888 50502 54932 67332 67336 80183 82398 82536 101004 106609 109864 134664 160366 164796 202008 213218 240549 260927 319827 320732 329592 426436 481098 521854 639654 641464 782781 852872 962196 1043708 1279308 1523477 1565562 1924392 2087416 2485673 2558616 3046954 3131124 4570431 4971346 6093908 6262248 7457019 9140862 9942692 12187816 14914038 18281724 19885384 29828076 36563448 47227787 59656152 94455574 141683361 188911148 283366722 377822296 566733444 1133466888