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1100243440 = 245157251349
BaseRepresentation
bin100000110010100…
…0110000111110000
32211200022011021001
41001211012013300
54223130242230
6301102011344
736156625552
oct10145060760
92750264231
101100243440
115150711aa
12268576b54
13146c3772a
14a61a34d2
15668d30ca
hex419461f0

1100243440 has 80 divisors (see below), whose sum is σ = 2592021600. Its totient is φ = 434304000.

The previous prime is 1100243437. The next prime is 1100243449. The reversal of 1100243440 is 443420011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100243449) 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, 3152386 + ... + 3152734.

It is an arithmetic number, because the mean of its divisors is an integer number (32400270).

Almost surely, 21100243440 is an apocalyptic number.

1100243440 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 1100243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296010800).

1100243440 is an abundant number, since it is smaller than the sum of its proper divisors (1491778160).

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

1100243440 is a wasteful number, since it uses less digits than its factorization.

1100243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1100243440 is about 33169.9176966118. The cubic root of 1100243440 is about 1032.3562608307.

Adding to 1100243440 its reverse (443420011), we get a palindrome (1543663451).

The spelling of 1100243440 in words is "one billion, one hundred million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 251 314 349 502 628 698 785 1004 1255 1256 1396 1570 1745 2008 2510 2512 2792 3140 3490 4016 5020 5584 6280 6980 10040 12560 13960 20080 27920 39407 54793 78814 87599 109586 157628 175198 197035 219172 273965 315256 350396 394070 437995 438344 547930 630512 700792 788140 875990 876688 1095860 1401584 1576280 1751980 2191720 3152560 3503960 4383440 7007920 13753043 27506086 55012172 68765215 110024344 137530430 220048688 275060860 550121720 1100243440