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1150014516 = 223732711031
BaseRepresentation
bin100010010001011…
…1101010000110100
32222010221210100020
41010202331100310
54323400431031
6310040445140
740332651000
oct10442752064
92863853306
101150014516
11540175a22
122811797b0
13154342881
14aca3b700
156ae65096
hex448bd434

1150014516 has 96 divisors (see below), whose sum is σ = 3143884800. Its totient is φ = 327045600.

The previous prime is 1150014491. The next prime is 1150014527. The reversal of 1150014516 is 6154100511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1114921 + ... + 1115951.

It is an arithmetic number, because the mean of its divisors is an integer number (32748800).

Almost surely, 21150014516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1150014516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571942400).

1150014516 is an abundant number, since it is smaller than the sum of its proper divisors (1993870284).

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

1150014516 is a wasteful number, since it uses less digits than its factorization.

1150014516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The square root of 1150014516 is about 33911.8639416945. The cubic root of 1150014516 is about 1047.6939613449.

The spelling of 1150014516 in words is "one billion, one hundred fifty million, fourteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 271 294 343 542 588 686 813 1029 1031 1084 1372 1626 1897 2058 2062 3093 3252 3794 4116 4124 5691 6186 7217 7588 11382 12372 13279 14434 21651 22764 26558 28868 39837 43302 50519 53116 79674 86604 92953 101038 151557 159348 185906 202076 278859 279401 303114 353633 371812 557718 558802 606228 707266 838203 1060899 1115436 1117604 1414532 1676406 1955807 2121798 3352812 3911614 4243596 5867421 7823228 11734842 13690649 23469684 27381298 41071947 54762596 82143894 95834543 164287788 191669086 287503629 383338172 575007258 1150014516