Search a number
-
+
1133454330 = 233524117419
BaseRepresentation
bin100001110001111…
…0010001111111010
32220222210110001000
41003203302033322
54310131014310
6304245505430
740042126401
oct10343621772
92828713030
101133454330
11531895018
12277712276
13150a95048
14aa76a638
15697934c0
hex438f23fa

1133454330 has 64 divisors (see below), whose sum is σ = 3035260800. Its totient is φ = 300983040.

The previous prime is 1133454323. The next prime is 1133454331. The reversal of 1133454330 is 334543311.

1133454330 is a `hidden beast` number, since 113 + 3 + 4 + 543 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1133454294 and 1133454303.

It is not an unprimeable number, because it can be changed into a prime (1133454331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56361 + ... + 73779.

It is an arithmetic number, because the mean of its divisors is an integer number (47425950).

Almost surely, 21133454330 is an apocalyptic number.

1133454330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133454330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517630400).

1133454330 is an abundant number, since it is smaller than the sum of its proper divisors (1901806470).

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

1133454330 is a wasteful number, since it uses less digits than its factorization.

1133454330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17676 (or 17670 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1133454330 is about 33666.8134815281. The cubic root of 1133454330 is about 1042.6407035386.

Adding to 1133454330 its reverse (334543311), we get a palindrome (1467997641).

It can be divided in two parts, 1 and 133454330, that added together give a palindrome (133454331).

The spelling of 1133454330 in words is "one billion, one hundred thirty-three million, four hundred fifty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 241 270 482 723 1205 1446 2169 2410 3615 4338 6507 7230 10845 13014 17419 21690 32535 34838 52257 65070 87095 104514 156771 174190 261285 313542 470313 522570 783855 940626 1567710 2351565 4197979 4703130 8395958 12593937 20989895 25187874 37781811 41979790 62969685 75563622 113345433 125939370 188909055 226690866 377818110 566727165 1133454330