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1114530640 = 24553833167
BaseRepresentation
bin100001001101110…
…0110001101010000
32212200012000121121
41002123212031100
54240304440030
6302332132024
736422232316
oct10233461520
92780160547
101114530640
1152213a403
12271307014
13149b9a7b2
14a80420b6
1567ca647a
hex426e6350

1114530640 has 80 divisors (see below), whose sum is σ = 2672828928. Its totient is φ = 431994368.

The previous prime is 1114530629. The next prime is 1114530647. The reversal of 1114530640 is 460354111.

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

It is a super-3 number, since 3×11145306403 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114530647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350337 + ... + 353503.

Almost surely, 21114530640 is an apocalyptic number.

1114530640 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 1114530640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336414464).

1114530640 is an abundant number, since it is smaller than the sum of its proper divisors (1558298288).

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

1114530640 is a wasteful number, since it uses less digits than its factorization.

1114530640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1114530640 is about 33384.5868628024. The cubic root of 1114530640 is about 1036.8056076403.

Adding to 1114530640 its reverse (460354111), we get a palindrome (1574884751).

The spelling of 1114530640 in words is "one billion, one hundred fourteen million, five hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 83 106 166 212 265 332 415 424 530 664 830 848 1060 1328 1660 2120 3167 3320 4240 4399 6334 6640 8798 12668 15835 17596 21995 25336 31670 35192 43990 50672 63340 70384 87980 126680 167851 175960 253360 262861 335702 351920 525722 671404 839255 1051444 1314305 1342808 1678510 2102888 2628610 2685616 3357020 4205776 5257220 6714040 10514440 13428080 13931633 21028880 27863266 55726532 69658165 111453064 139316330 222906128 278632660 557265320 1114530640