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1127423472 = 24376167821
BaseRepresentation
bin100001100110011…
…0001110111110000
32220120110001020220
41003030301313300
54302110022342
6303512333040
736636640620
oct10314616760
92816401226
101127423472
11529445a3a
122756a4180
1314c762ca6
14a9a3a880
1568ea15ec
hex43331df0

1127423472 has 160 divisors (see below), whose sum is σ = 3437827584. Its totient is φ = 311731200.

The previous prime is 1127423471. The next prime is 1127423483. The reversal of 1127423472 is 2743247211.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127423471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1372822 + ... + 1373642.

Almost surely, 21127423472 is an apocalyptic number.

1127423472 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 1127423472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718913792).

1127423472 is an abundant number, since it is smaller than the sum of its proper divisors (2310404112).

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

1127423472 is a wasteful number, since it uses less digits than its factorization.

1127423472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 961 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 1127423472 is about 33577.1272148169. The cubic root of 1127423472 is about 1040.7881944061.

The spelling of 1127423472 in words is "one billion, one hundred twenty-seven million, four hundred twenty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 67 84 112 122 134 168 183 201 244 268 336 366 402 427 469 488 536 732 804 821 854 938 976 1072 1281 1407 1464 1608 1642 1708 1876 2463 2562 2814 2928 3216 3284 3416 3752 4087 4926 5124 5628 5747 6568 6832 7504 8174 9852 10248 11256 11494 12261 13136 16348 17241 19704 20496 22512 22988 24522 28609 32696 34482 39408 45976 49044 50081 55007 57218 65392 68964 85827 91952 98088 100162 110014 114436 137928 150243 165021 171654 196176 200324 220028 228872 275856 300486 330042 343308 350567 385049 400648 440056 457744 600972 660084 686616 701134 770098 801296 880112 1051701 1155147 1201944 1320168 1373232 1402268 1540196 2103402 2310294 2403888 2640336 2804536 3080392 3355427 4206804 4620588 5609072 6160784 6710854 8413608 9241176 10066281 13421708 16827216 18482352 20132562 23487989 26843416 40265124 46975978 53686832 70463967 80530248 93951956 140927934 161060496 187903912 281855868 375807824 563711736 1127423472