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1103144240 = 245115921247
BaseRepresentation
bin100000111000000…
…1010010100110000
32211212202112102002
41001300022110300
54224401103430
6301244113132
736223366652
oct10160122460
92755675362
101103144240
11516772660
122695357a8
13147711b93
14a671a6d2
1566ca7845
hex41c0a530

1103144240 has 80 divisors (see below), whose sum is σ = 2845532160. Its totient is φ = 394325760.

The previous prime is 1103144227. The next prime is 1103144257. The reversal of 1103144240 is 424413011.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 41297 + ... + 62543.

It is an arithmetic number, because the mean of its divisors is an integer number (35569152).

Almost surely, 21103144240 is an apocalyptic number.

1103144240 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 1103144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422766080).

1103144240 is an abundant number, since it is smaller than the sum of its proper divisors (1742387920).

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

1103144240 is a wasteful number, since it uses less digits than its factorization.

1103144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21330 (or 21324 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1103144240 is about 33213.6152804840. The cubic root of 1103144240 is about 1033.2627363031.

Adding to 1103144240 its reverse (424413011), we get a palindrome (1527557251).

The spelling of 1103144240 in words is "one billion, one hundred three million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 176 220 236 295 440 472 590 649 880 944 1180 1298 2360 2596 3245 4720 5192 6490 10384 12980 21247 25960 42494 51920 84988 106235 169976 212470 233717 339952 424940 467434 849880 934868 1168585 1253573 1699760 1869736 2337170 2507146 3739472 4674340 5014292 6267865 9348680 10028584 12535730 13789303 18697360 20057168 25071460 27578606 50142920 55157212 68946515 100285840 110314424 137893030 220628848 275786060 551572120 1103144240