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1123460416 = 26131350313
BaseRepresentation
bin100001011110110…
…1010010101000000
32220021222200222001
41002331222111000
54300101213131
6303251353344
736561153541
oct10275522500
92807880861
101123460416
11527189491
122742b2854
1314b9a61a0
14a92c84c8
156896c261
hex42f6a540

1123460416 has 28 divisors (see below), whose sum is σ = 2400858292. Its totient is φ = 518519808.

The previous prime is 1123460381. The next prime is 1123460431. The reversal of 1123460416 is 6140643211.

It can be written as a sum of positive squares in 2 ways, for example, as 678081600 + 445378816 = 26040^2 + 21104^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 674325 + ... + 675988.

It is an arithmetic number, because the mean of its divisors is an integer number (85744939).

Almost surely, 21123460416 is an apocalyptic number.

1123460416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1123460416 is an abundant number, since it is smaller than the sum of its proper divisors (1277397876).

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

1123460416 is a wasteful number, since it uses less digits than its factorization.

1123460416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350338 (or 1350328 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1123460416 is about 33518.0610417727. The cubic root of 1123460416 is about 1039.5672558575.

The spelling of 1123460416 in words is "one billion, one hundred twenty-three million, four hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1350313 2700626 5401252 10802504 17554069 21605008 35108138 43210016 70216276 86420032 140432552 280865104 561730208 1123460416