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1123054144 = 26592712
BaseRepresentation
bin100001011110000…
…0111001001000000
32220021020001122221
41002330013021000
54300000213034
6303234540424
736554542222
oct10274071100
92807201587
101123054144
11526a31223
12274137714
1314b8932a4
14a9220412
15688dbbb4
hex42f07240

1123054144 has 63 divisors (see below), whose sum is σ = 2299351891. Its totient is φ = 544234880.

The previous prime is 1123054129. The next prime is 1123054169. The reversal of 1123054144 is 4414503211.

The square root of 1123054144 is 33512.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×11230541442 = 2522501220711145472, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 15817629 + ... + 15817699.

Almost surely, 21123054144 is an apocalyptic number.

1123054144 is the 33512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123054144

1123054144 is an abundant number, since it is smaller than the sum of its proper divisors (1176297747).

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

1123054144 is an frugal number, since it uses more digits than its factorization.

1123054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 1123054144 is about 1039.4419293862.

Multiplying 1123054144 by its sum of digits (25), we get a square (28076353600 = 1675602).

Adding to 1123054144 its reverse (4414503211), we get a palindrome (5537557355).

The spelling of 1123054144 in words is "one billion, one hundred twenty-three million, fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 59 64 71 118 142 236 284 472 568 944 1136 1888 2272 3481 3776 4189 4544 5041 6962 8378 10082 13924 16756 20164 27848 33512 40328 55696 67024 80656 111392 134048 161312 222784 247151 268096 297419 322624 494302 594838 988604 1189676 1977208 2379352 3954416 4758704 7908832 9517408 15817664 17547721 19034816 35095442 70190884 140381768 280763536 561527072 1123054144