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1140113310 = 235747115513
BaseRepresentation
bin100001111110100…
…1011111110011110
32221110022202102220
41003331023332132
54313332111220
6305044330210
740152542340
oct10375137636
92843282386
101140113310
11535623006
122799a3966
13152286c7b
14ab5c1290
156a15b540
hex43f4bf9e

1140113310 has 64 divisors (see below), whose sum is σ = 3193731072. Its totient is φ = 255050496.

The previous prime is 1140113287. The next prime is 1140113311. The reversal of 1140113310 is 133110411.

It is a super-3 number, since 3×11401133103 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1140113310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140113311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47887 + ... + 67626.

It is an arithmetic number, because the mean of its divisors is an integer number (49902048).

Almost surely, 21140113310 is an apocalyptic number.

1140113310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1140113310 is an abundant number, since it is smaller than the sum of its proper divisors (2053617762).

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

1140113310 is a wasteful number, since it uses less digits than its factorization.

1140113310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115577.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1140113310 is about 33765.5639668583. The cubic root of 1140113310 is about 1044.6785363784.

Adding to 1140113310 its reverse (133110411), we get a palindrome (1273223721).

The spelling of 1140113310 in words is "one billion, one hundred forty million, one hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 470 658 705 987 1410 1645 1974 3290 4935 9870 115513 231026 346539 577565 693078 808591 1155130 1617182 1732695 2425773 3465390 4042955 4851546 5429111 8085910 10858222 12128865 16287333 24257730 27145555 32574666 38003777 54291110 76007554 81436665 114011331 162873330 190018885 228022662 380037770 570056655 1140113310