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1040112972 = 2232171989449
BaseRepresentation
bin111101111111101…
…101110101001100
32200111011012202200
4331333231311030
54112232103342
6251113121500
734526546223
oct7577556514
92614135680
101040112972
114941312a8
122503b9290
13137643282
149c1cdcba
15614a694c
hex3dfedd4c

1040112972 has 72 divisors (see below), whose sum is σ = 2930382000. Its totient is φ = 309132288.

The previous prime is 1040112971. The next prime is 1040113021. The reversal of 1040112972 is 2792110401.

It is not an unprimeable number, because it can be changed into a prime (1040112971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33097 + ... + 56352.

It is an arithmetic number, because the mean of its divisors is an integer number (40699750).

Almost surely, 21040112972 is an apocalyptic number.

1040112972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1040112972 is an abundant number, since it is smaller than the sum of its proper divisors (1890269028).

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

1040112972 is a wasteful number, since it uses less digits than its factorization.

1040112972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89495 (or 89490 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1040112972 is about 32250.7825021347. The cubic root of 1040112972 is about 1013.1960879548.

The spelling of 1040112972 in words is "one billion, forty million, one hundred twelve thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1938 2907 3876 5814 11628 89449 178898 268347 357796 536694 805041 1073388 1520633 1610082 1699531 3041266 3220164 3399062 4561899 5098593 6082532 6798124 9123798 10197186 13685697 15295779 18247596 20394372 27371394 28892027 30591558 54742788 57784054 61183116 86676081 115568108 173352162 260028243 346704324 520056486 1040112972