Search a number
-
+
1131788240 = 245119713259
BaseRepresentation
bin100001101110101…
…1011011111010000
32220212122210120222
41003131123133100
54304214210430
6304150052212
740022020112
oct10335333720
92825583528
101131788240
11530957290
1227704a068
131506308ab
14aa4553b2
15695649e5
hex4375b7d0

1131788240 has 80 divisors (see below), whose sum is σ = 2900439360. Its totient is φ = 407285760.

The previous prime is 1131788239. The next prime is 1131788261. The reversal of 1131788240 is 428871311.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1131788240.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 78731 + ... + 91989.

It is an arithmetic number, because the mean of its divisors is an integer number (36255492).

Almost surely, 21131788240 is an apocalyptic number.

1131788240 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 1131788240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450219680).

1131788240 is an abundant number, since it is smaller than the sum of its proper divisors (1768651120).

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

1131788240 is a wasteful number, since it uses less digits than its factorization.

1131788240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13380 (or 13374 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 1131788240 is about 33642.0605789836. The cubic root of 1131788240 is about 1042.1295860194.

The spelling of 1131788240 in words is "one billion, one hundred thirty-one million, seven hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 97 110 176 194 220 388 440 485 776 880 970 1067 1552 1940 2134 3880 4268 5335 7760 8536 10670 13259 17072 21340 26518 42680 53036 66295 85360 106072 132590 145849 212144 265180 291698 530360 583396 729245 1060720 1166792 1286123 1458490 2333584 2572246 2916980 5144492 5833960 6430615 10288984 11667920 12861230 14147353 20577968 25722460 28294706 51444920 56589412 70736765 102889840 113178824 141473530 226357648 282947060 565894120 1131788240