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1040116728 = 23372884453
BaseRepresentation
bin111101111111101…
…110101111111000
32200111011101220210
4331333232233320
54112232213403
6251113151120
734526563200
oct7577565770
92614141823
101040116728
11494134102
122503bb4a0
13137644bb1
149c1d1400
15614a7b03
hex3dfeebf8

1040116728 has 48 divisors (see below), whose sum is σ = 3024832680. Its totient is φ = 297175872.

The previous prime is 1040116711. The next prime is 1040116733. The reversal of 1040116728 is 8276110401.

It is a junction number, because it is equal to n+sod(n) for n = 1040116695 and 1040116704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 441051 + ... + 443402.

Almost surely, 21040116728 is an apocalyptic number.

It is an amenable number.

1040116728 is an abundant number, since it is smaller than the sum of its proper divisors (1984715952).

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

1040116728 is a wasteful number, since it uses less digits than its factorization.

1040116728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884476 (or 884465 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 1040116728 is about 32250.8407332274. The cubic root of 1040116728 is about 1013.1973075531.

The spelling of 1040116728 in words is "one billion, forty million, one hundred sixteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 884453 1768906 2653359 3537812 5306718 6191171 7075624 10613436 12382342 18573513 21226872 24764684 37147026 43338197 49529368 74294052 86676394 130014591 148588104 173352788 260029182 346705576 520058364 1040116728