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1103201440 = 255112327253
BaseRepresentation
bin100000111000001…
…1000010010100000
32211212212102212121
41001300120102200
54224404421230
6301245234024
736224025505
oct10160302240
92755772777
101103201440
11516801630
12269562914
13147731c23
14a67334ac
1566cb977a
hex41c184a0

1103201440 has 96 divisors (see below), whose sum is σ = 2966979456. Its totient is φ = 383708160.

The previous prime is 1103201423. The next prime is 1103201447. The reversal of 1103201440 is 441023011.

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

It is not an unprimeable number, because it can be changed into a prime (1103201447) 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, 26854 + ... + 54106.

It is an arithmetic number, because the mean of its divisors is an integer number (30906036).

Almost surely, 21103201440 is an apocalyptic number.

1103201440 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 1103201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483489728).

1103201440 is an abundant number, since it is smaller than the sum of its proper divisors (1863778016).

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

1103201440 is a wasteful number, since it uses less digits than its factorization.

1103201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27302 (or 27294 counting only the distinct ones).

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

The square root of 1103201440 is about 33214.4763619720. The cubic root of 1103201440 is about 1033.2805948341.

Adding to 1103201440 its reverse (441023011), we get a palindrome (1544224451).

The spelling of 1103201440 in words is "one billion, one hundred three million, two hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 368 440 460 506 736 880 920 1012 1265 1760 1840 2024 2530 3680 4048 5060 8096 10120 20240 27253 40480 54506 109012 136265 218024 272530 299783 436048 545060 599566 626819 872096 1090120 1199132 1253638 1498915 2180240 2398264 2507276 2997830 3134095 4360480 4796528 5014552 5995660 6268190 6895009 9593056 10029104 11991320 12536380 13790018 20058208 23982640 25072760 27580036 34475045 47965280 50145520 55160072 68950090 100291040 110320144 137900180 220640288 275800360 551600720 1103201440