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1123461042 = 231122815507
BaseRepresentation
bin100001011110110…
…1010011110110010
32220021222201211020
41002331222132302
54300101223132
6303251400310
736561155424
oct10275523662
92807881736
101123461042
11527189a00
122742b3096
1314b9a6562
14a92c8814
156896c52c
hex42f6a7b2

1123461042 has 48 divisors (see below), whose sum is σ = 2478996576. Its totient is φ = 339169600.

The previous prime is 1123461023. The next prime is 1123461047. The reversal of 1123461042 is 2401643211.

It is not an unprimeable number, because it can be changed into a prime (1123461047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201253 + ... + 206759.

It is an arithmetic number, because the mean of its divisors is an integer number (51645762).

Almost surely, 21123461042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123461042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239498288).

1123461042 is an abundant number, since it is smaller than the sum of its proper divisors (1355535534).

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

1123461042 is a wasteful number, since it uses less digits than its factorization.

1123461042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5815 (or 5804 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1123461042 is about 33518.0703800204. The cubic root of 1123461042 is about 1039.5674489422.

The spelling of 1123461042 in words is "one billion, one hundred twenty-three million, four hundred sixty-one thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 281 363 562 726 843 1686 3091 5507 6182 9273 11014 16521 18546 33042 34001 60577 68002 102003 121154 181731 204006 363462 666347 1332694 1547467 1999041 3094934 3998082 4642401 9284802 17022137 34044274 51066411 102132822 187243507 374487014 561730521 1123461042