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1132331440 = 24541973559
BaseRepresentation
bin100001101111110…
…0000000110110000
32220220200101201111
41003133200012300
54304334101230
6304205443104
740026441562
oct10337400660
92826611644
101132331440
11531198409
12277270494
13150790c06
14aa557332
156962092a
hex437e01b0

1132331440 has 80 divisors (see below), whose sum is σ = 2725450560. Its totient is φ = 437207040.

The previous prime is 1132331351. The next prime is 1132331443. The reversal of 1132331440 is 441332311.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1132331443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 316381 + ... + 319939.

It is an arithmetic number, because the mean of its divisors is an integer number (34068132).

Almost surely, 21132331440 is an apocalyptic number.

1132331440 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 1132331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362725280).

1132331440 is an abundant number, since it is smaller than the sum of its proper divisors (1593119120).

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

1132331440 is a wasteful number, since it uses less digits than its factorization.

1132331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1132331440 is about 33650.1328377764. The cubic root of 1132331440 is about 1042.2962821767.

Adding to 1132331440 its reverse (441332311), we get a palindrome (1573663751).

The spelling of 1132331440 in words is "one billion, one hundred thirty-two million, three hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 97 164 194 205 328 388 410 485 656 776 820 970 1552 1640 1940 3280 3559 3880 3977 7118 7760 7954 14236 15908 17795 19885 28472 31816 35590 39770 56944 63632 71180 79540 142360 145919 159080 284720 291838 318160 345223 583676 690446 729595 1167352 1380892 1459190 1726115 2334704 2761784 2918380 3452230 5523568 5836760 6904460 11673520 13808920 14154143 27617840 28308286 56616572 70770715 113233144 141541430 226466288 283082860 566165720 1132331440