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1105741332 = 223253579529
BaseRepresentation
bin100000111101000…
…0100011000010100
32212001122110221200
41001322010120110
54231032210312
6301415512500
736254434443
oct10172043024
92761573850
101105741332
11518186913
1226a388730
13148111017
14a6bd4d5a
156711c0dc
hex41e84614

1105741332 has 36 divisors (see below), whose sum is σ = 2847810420. Its totient is φ = 361625472.

The previous prime is 1105741253. The next prime is 1105741333. The reversal of 1105741332 is 2331475011.

It can be written as a sum of positive squares in 2 ways, for example, as 582063876 + 523677456 = 24126^2 + 22884^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 1105741296 and 1105741305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105741333) 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 11 ways as a sum of consecutive naturals, for example, 287857 + ... + 291672.

It is an arithmetic number, because the mean of its divisors is an integer number (79105845).

Almost surely, 21105741332 is an apocalyptic number.

1105741332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1105741332 is an abundant number, since it is smaller than the sum of its proper divisors (1742069088).

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

1105741332 is a wasteful number, since it uses less digits than its factorization.

1105741332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579592 (or 579587 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1105741332 is about 33252.6890942672. The cubic root of 1105741332 is about 1034.0729583235.

The spelling of 1105741332 in words is "one billion, one hundred five million, seven hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 579529 1159058 1738587 2318116 3477174 5215761 6954348 10431522 20863044 30715037 61430074 92145111 122860148 184290222 276435333 368580444 552870666 1105741332