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1105545252 = 2237438371
BaseRepresentation
bin100000111100101…
…0100100000100100
32212001021111222110
41001321110200210
54231004422002
6301411401020
736252660000
oct10171244044
92761244873
101105545252
11518062569
1226a2b3170
131480729b6
14a6b83700
15670cde6c
hex41e54824

1105545252 has 60 divisors (see below), whose sum is σ = 3009439216. Its totient is φ = 315861840.

The previous prime is 1105545251. The next prime is 1105545263. The reversal of 1105545252 is 2525455011.

It is not an unprimeable number, because it can be changed into a prime (1105545251) 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 19 ways as a sum of consecutive naturals, for example, 9627 + ... + 47997.

Almost surely, 21105545252 is an apocalyptic number.

1105545252 is a gapful number since it is divisible by the number (12) 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 1105545252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504719608).

1105545252 is an abundant number, since it is smaller than the sum of its proper divisors (1903893964).

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

1105545252 is an equidigital number, since it uses as much as digits as its factorization.

1105545252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38406 (or 38383 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The square root of 1105545252 is about 33249.7406305673. The cubic root of 1105545252 is about 1034.0118310037.

The spelling of 1105545252 in words is "one billion, one hundred five million, five hundred forty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 2401 4116 4802 7203 9604 14406 28812 38371 76742 115113 153484 230226 268597 460452 537194 805791 1074388 1611582 1880179 3223164 3760358 5640537 7520716 11281074 13161253 22562148 26322506 39483759 52645012 78967518 92128771 157935036 184257542 276386313 368515084 552772626 1105545252