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1131430240 = 255171921893
BaseRepresentation
bin100001101110000…
…0100000101100000
32220211222121111201
41003130010011200
54304121231430
6304134250544
740015666303
oct10334040540
92824877451
101131430240
11530732316
12276ab6a54
13150536965
14aa3a0b3a
15694e38ca
hex43704160

1131430240 has 96 divisors (see below), whose sum is σ = 2979335520. Its totient is φ = 403513344.

The previous prime is 1131430231. The next prime is 1131430249. The reversal of 1131430240 is 420341311.

It is an interprime number because it is at equal distance from previous prime (1131430231) and next prime (1131430249).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131430249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40734 + ... + 62626.

It is an arithmetic number, because the mean of its divisors is an integer number (31034745).

Almost surely, 21131430240 is an apocalyptic number.

1131430240 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 1131430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489667760).

1131430240 is an abundant number, since it is smaller than the sum of its proper divisors (1847905280).

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

1131430240 is a wasteful number, since it uses less digits than its factorization.

1131430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21944 (or 21936 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1131430240 is about 33636.7394377041. The cubic root of 1131430240 is about 1042.0196945154.

Adding to 1131430240 its reverse (420341311), we get a palindrome (1551771551).

The spelling of 1131430240 in words is "one billion, one hundred thirty-one million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 68 76 80 85 95 136 152 160 170 190 272 304 323 340 380 544 608 646 680 760 1292 1360 1520 1615 2584 2720 3040 3230 5168 6460 10336 12920 21893 25840 43786 51680 87572 109465 175144 218930 350288 372181 415967 437860 700576 744362 831934 875720 1488724 1663868 1751440 1860905 2079835 2977448 3327736 3502880 3721810 4159670 5954896 6655472 7071439 7443620 8319340 11909792 13310944 14142878 14887240 16638680 28285756 29774480 33277360 35357195 56571512 59548960 66554720 70714390 113143024 141428780 226286048 282857560 565715120 1131430240