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1150104540 = 22351310191447
BaseRepresentation
bin100010010001101…
…0011001111011100
32222011010100211110
41010203103033130
54323411321130
6310042422020
740333504314
oct10443231734
92864110743
101150104540
11540227622
12281201910
13154374840
14aca62444
156ae81ab0
hex448d33dc

1150104540 has 96 divisors (see below), whose sum is σ = 3473809920. Its totient is φ = 282629376.

The previous prime is 1150104517. The next prime is 1150104577. The reversal of 1150104540 is 454010511.

It is a super-2 number, since 2×11501045402 = 2645480905857223200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794097 + ... + 795543.

It is an arithmetic number, because the mean of its divisors is an integer number (36185520).

Almost surely, 21150104540 is an apocalyptic number.

1150104540 is a gapful number since it is divisible by the number (10) 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 1150104540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736904960).

1150104540 is an abundant number, since it is smaller than the sum of its proper divisors (2323705380).

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

1150104540 is a wasteful number, since it uses less digits than its factorization.

1150104540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1150104540 is about 33913.1912388085. The cubic root of 1150104540 is about 1047.7212987216.

The spelling of 1150104540 in words is "one billion, one hundred fifty million, one hundred four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1019 1447 2038 2894 3057 4076 4341 5095 5788 6114 7235 8682 10190 12228 13247 14470 15285 17364 18811 20380 21705 26494 28940 30570 37622 39741 43410 52988 56433 61140 66235 75244 79482 86820 94055 112866 132470 158964 188110 198705 225732 264940 282165 376220 397410 564330 794820 1128660 1474493 2948986 4423479 5897972 7372465 8846958 14744930 17693916 19168409 22117395 29489860 38336818 44234790 57505227 76673636 88469580 95842045 115010454 191684090 230020908 287526135 383368180 575052270 1150104540