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1140255424 = 26711435381
BaseRepresentation
bin100001111110110…
…1110101011000000
32221110120222101101
41003331232223000
54313401133144
6305051344144
740154003560
oct10375565300
92843528341
101140255424
1153570a860
12279a52054
13152306869
14ab61ada0
156a1886d4
hex43f6eac0

1140255424 has 112 divisors (see below), whose sum is σ = 2887163136. Its totient is φ = 433843200.

The previous prime is 1140255397. The next prime is 1140255439. The reversal of 1140255424 is 4245520411.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×11402554242 = 2600364863922839552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1140255392 and 1140255401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209214 + ... + 214594.

Almost surely, 21140255424 is an apocalyptic number.

1140255424 is a gapful number since it is divisible by the number (14) 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 1140255424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443581568).

1140255424 is an abundant number, since it is smaller than the sum of its proper divisors (1746907712).

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

1140255424 is a wasteful number, since it uses less digits than its factorization.

1140255424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5454 (or 5444 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 1140255424 is about 33767.6683234126. The cubic root of 1140255424 is about 1044.7219406249.

Adding to 1140255424 its reverse (4245520411), we get a palindrome (5385775835).

The spelling of 1140255424 in words is "one billion, one hundred forty million, two hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 43 44 56 64 77 86 88 112 154 172 176 224 301 308 344 352 448 473 602 616 688 704 946 1204 1232 1376 1892 2408 2464 2752 3311 3784 4816 4928 5381 6622 7568 9632 10762 13244 15136 19264 21524 26488 30272 37667 43048 52976 59191 75334 86096 105952 118382 150668 172192 211904 231383 236764 301336 344384 414337 462766 473528 602672 828674 925532 947056 1205344 1619681 1657348 1851064 1894112 2410688 2545213 3239362 3314696 3702128 3788224 5090426 6478724 6629392 7404256 10180852 12957448 13258784 14808512 17816491 20361704 25914896 26517568 35632982 40723408 51829792 71265964 81446816 103659584 142531928 162893632 285063856 570127712 1140255424