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1140130240 = 26523971597
BaseRepresentation
bin100001111110101…
…0000000111000000
32221110100121122221
41003331100013000
54313333131430
6305044540424
740152642604
oct10375200700
92843317587
101140130240
115356347a7
122799b1714
131522918a2
14ab5c7504
156a16157a
hex43f501c0

1140130240 has 112 divisors (see below), whose sum is σ = 2863973952. Its totient is φ = 431456256.

The previous prime is 1140130231. The next prime is 1140130241. The reversal of 1140130240 is 420310411.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140130241) 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, 713122 + ... + 714718.

It is an arithmetic number, because the mean of its divisors is an integer number (25571196).

Almost surely, 21140130240 is an apocalyptic number.

1140130240 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 1140130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431986976).

1140130240 is an abundant number, since it is smaller than the sum of its proper divisors (1723843712).

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

1140130240 is a wasteful number, since it uses less digits than its factorization.

1140130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1140130240 is about 33765.8146651314. The cubic root of 1140130240 is about 1044.6837073031.

Adding to 1140130240 its reverse (420310411), we get a palindrome (1560440651).

The spelling of 1140130240 in words is "one billion, one hundred forty million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 97 115 160 184 194 230 320 368 388 460 485 736 776 920 970 1472 1552 1597 1840 1940 2231 3104 3194 3680 3880 4462 6208 6388 7360 7760 7985 8924 11155 12776 15520 15970 17848 22310 25552 31040 31940 35696 36731 44620 51104 63880 71392 73462 89240 102208 127760 142784 146924 154909 178480 183655 255520 293848 309818 356960 367310 511040 587696 619636 713920 734620 774545 1175392 1239272 1469240 1549090 2350784 2478544 2938480 3098180 3562907 4957088 5876960 6196360 7125814 9914176 11753920 12392720 14251628 17814535 24785440 28503256 35629070 49570880 57006512 71258140 114013024 142516280 228026048 285032560 570065120 1140130240