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1105112540 = 225717538761
BaseRepresentation
bin100000111011110…
…1010110111011100
32212000110112102002
41001313222313130
54230402100130
6301354221432
736246205310
oct10167526734
92760415362
101105112540
11517897454
1226a124878
13147c50a5c
14a6aadb40
1567045b45
hex41deaddc

1105112540 has 96 divisors (see below), whose sum is σ = 2861599104. Its totient is φ = 349839360.

The previous prime is 1105112537. The next prime is 1105112611. The reversal of 1105112540 is 452115011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121760 + ... + 130520.

It is an arithmetic number, because the mean of its divisors is an integer number (29808324).

Almost surely, 21105112540 is an apocalyptic number.

1105112540 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 1105112540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430799552).

1105112540 is an abundant number, since it is smaller than the sum of its proper divisors (1756486564).

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

1105112540 is a wasteful number, since it uses less digits than its factorization.

1105112540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8847 (or 8845 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 1105112540 is about 33243.2329956038. The cubic root of 1105112540 is about 1033.8769088272.

Adding to 1105112540 its reverse (452115011), we get a palindrome (1557227551).

The spelling of 1105112540 in words is "one billion, one hundred five million, one hundred twelve thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 53 68 70 85 106 119 140 170 212 238 265 340 371 476 530 595 742 901 1060 1190 1484 1802 1855 2380 3604 3710 4505 6307 7420 8761 9010 12614 17522 18020 25228 31535 35044 43805 61327 63070 87610 122654 126140 148937 175220 245308 297874 306635 464333 595748 613270 744685 928666 1042559 1226540 1489370 1857332 2085118 2321665 2978740 3250331 4170236 4643330 5212795 6500662 7893661 9286660 10425590 13001324 15787322 16251655 20851180 31574644 32503310 39468305 55255627 65006620 78936610 110511254 157873220 221022508 276278135 552556270 1105112540