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1133431440 = 24354722631
BaseRepresentation
bin100001110001110…
…1100101010010000
32220222202021122020
41003203230222100
54310124301230
6304245211440
740042002561
oct10343545220
92828667566
101133431440
115318798a9
12277700b80
13150a877bb
14aa762168
156978b810
hex438eca90

1133431440 has 40 divisors (see below), whose sum is σ = 3513638208. Its totient is φ = 302248320.

The previous prime is 1133431417. The next prime is 1133431469. The reversal of 1133431440 is 441343311.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1133431440.

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 7 ways as a sum of consecutive naturals, for example, 2361076 + ... + 2361555.

Almost surely, 21133431440 is an apocalyptic number.

1133431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1133431440 is an abundant number, since it is smaller than the sum of its proper divisors (2380206768).

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

1133431440 is a wasteful number, since it uses less digits than its factorization.

1133431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722647 (or 4722641 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1133431440 is about 33666.4735307992. The cubic root of 1133431440 is about 1042.6336848155.

Adding to 1133431440 its reverse (441343311), we get a palindrome (1574774751).

The spelling of 1133431440 in words is "one billion, one hundred thirty-three million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4722631 9445262 14167893 18890524 23613155 28335786 37781048 47226310 56671572 70839465 75562096 94452620 113343144 141678930 188905240 226686288 283357860 377810480 566715720 1133431440