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1105413160 = 235191997309
BaseRepresentation
bin100000111100011…
…0100010000101000
32212001000210210011
41001320310100220
54230441210120
6301404501304
736251566615
oct10170642050
92761023704
101105413160
11517a822a5
1226a24a834
13148027837
14a6b4b50c
15670a4c5a
hex41e34428

1105413160 has 64 divisors (see below), whose sum is σ = 2631600000. Its totient is φ = 416731392.

The previous prime is 1105413157. The next prime is 1105413161. The reversal of 1105413160 is 613145011.

It is not an unprimeable number, because it can be changed into a prime (1105413161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147586 + ... + 154894.

It is an arithmetic number, because the mean of its divisors is an integer number (41118750).

Almost surely, 21105413160 is an apocalyptic number.

1105413160 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 1105413160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315800000).

1105413160 is an abundant number, since it is smaller than the sum of its proper divisors (1526186840).

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

1105413160 is a wasteful number, since it uses less digits than its factorization.

1105413160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7538 (or 7534 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1105413160 is about 33247.7542098711. The cubic root of 1105413160 is about 1033.9706476658.

Adding to 1105413160 its reverse (613145011), we get a palindrome (1718558171).

The spelling of 1105413160 in words is "one billion, one hundred five million, four hundred thirteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 199 380 398 760 796 995 1592 1990 3781 3980 7309 7562 7960 14618 15124 18905 29236 30248 36545 37810 58472 73090 75620 138871 146180 151240 277742 292360 555484 694355 1110968 1388710 1454491 2777420 2908982 5554840 5817964 7272455 11635928 14544910 27635329 29089820 55270658 58179640 110541316 138176645 221082632 276353290 552706580 1105413160