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1133013140 = 225728328597
BaseRepresentation
bin100001110001000…
…0110100010010100
32220221222000211122
41003202012202110
54310022410030
6304232223112
740035311210
oct10342064224
92827860748
101133013140
115316135a6
1227753aa98
1315096c29c
14aa693940
15697078e5
hex43886894

1133013140 has 48 divisors (see below), whose sum is σ = 2728935552. Its totient is φ = 387075456.

The previous prime is 1133013113. The next prime is 1133013191. The reversal of 1133013140 is 413103311.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25322 + ... + 53918.

It is an arithmetic number, because the mean of its divisors is an integer number (56852824).

Almost surely, 21133013140 is an apocalyptic number.

1133013140 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 1133013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364467776).

1133013140 is an abundant number, since it is smaller than the sum of its proper divisors (1595922412).

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

1133013140 is a wasteful number, since it uses less digits than its factorization.

1133013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28896 (or 28894 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1133013140 is about 33660.2605456345. The cubic root of 1133013140 is about 1042.5054055276.

Adding to 1133013140 its reverse (413103311), we get a palindrome (1546116451).

The spelling of 1133013140 in words is "one billion, one hundred thirty-three million, thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 283 566 1132 1415 1981 2830 3962 5660 7924 9905 19810 28597 39620 57194 114388 142985 200179 285970 400358 571940 800716 1000895 2001790 4003580 8092951 16185902 32371804 40464755 56650657 80929510 113301314 161859020 226602628 283253285 566506570 1133013140