Search a number
-
+
1123286976 = 26327239799
BaseRepresentation
bin100001011110011…
…1111111111000000
32220021122220001100
41002330333333000
54300030140401
6303243534400
736556532100
oct10274777700
92807586040
101123286976
11527080149
1227422a400
1314b945266
14a9281200
1568935b86
hex42f3ffc0

1123286976 has 126 divisors (see below), whose sum is σ = 3745458600. Its totient is φ = 320931072.

The previous prime is 1123286911. The next prime is 1123286977. The reversal of 1123286976 is 6796823211.

It is a tau number, because it is divible by the number of its divisors (126).

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 (1123286977) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8325 + ... + 48123.

Almost surely, 21123286976 is an apocalyptic number.

1123286976 is a gapful number since it is divisible by the number (16) 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 1123286976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872729300).

1123286976 is an abundant number, since it is smaller than the sum of its proper divisors (2622171624).

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

1123286976 is a wasteful number, since it uses less digits than its factorization.

1123286976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39831 (or 39811 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 1123286976 is about 33515.4736800780. The cubic root of 1123286976 is about 1039.5137569176.

The spelling of 1123286976 in words is "one billion, one hundred twenty-three million, two hundred eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 39799 79598 119397 159196 238794 278593 318392 358191 477588 557186 636784 716382 835779 955176 1114372 1273568 1432764 1671558 1910352 1950151 2228744 2507337 2547136 2865528 3343116 3820704 3900302 4457488 5014674 5731056 5850453 6686232 7641408 7800604 8914976 10029348 11462112 11700906 13372464 15601208 17551359 17829952 20058696 22924224 23401812 26744928 31202416 35102718 40117392 46803624 53489856 62404832 70205436 80234784 93607248 124809664 140410872 160469568 187214496 280821744 374428992 561643488 1123286976