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1131433440 = 25352357153
BaseRepresentation
bin100001101110000…
…0100110111100000
32220211222202220020
41003130010313200
54304121332230
6304134313440
740016011524
oct10334046740
92824882806
101131433440
11530734765
12276ab8880
13150538257
14aa3a1d84
15694e4810
hex43704de0

1131433440 has 48 divisors (see below), whose sum is σ = 3564016848. Its totient is φ = 301715456.

The previous prime is 1131433439. The next prime is 1131433477. The reversal of 1131433440 is 443341311.

It is a tau number, because it is divible by the number of its divisors (48).

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 1131433440.

It is a congruent number.

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, 1178097 + ... + 1179056.

It is an arithmetic number, because the mean of its divisors is an integer number (74250351).

Almost surely, 21131433440 is an apocalyptic number.

1131433440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131433440 is an abundant number, since it is smaller than the sum of its proper divisors (2432583408).

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

1131433440 is a wasteful number, since it uses less digits than its factorization.

1131433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357171 (or 2357163 counting only the distinct ones).

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

The square root of 1131433440 is about 33636.7870047066. The cubic root of 1131433440 is about 1042.0206768885.

Adding to 1131433440 its reverse (443341311), we get a palindrome (1574774751).

The spelling of 1131433440 in words is "one billion, one hundred thirty-one million, four hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2357153 4714306 7071459 9428612 11785765 14142918 18857224 23571530 28285836 35357295 37714448 47143060 56571672 70714590 75428896 94286120 113143344 141429180 188572240 226286688 282858360 377144480 565716720 1131433440