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1166490072 = 233411315279
BaseRepresentation
bin100010110000111…
…0011100111011000
310000021221211120000
41011201303213120
54342110140242
6311425533000
740623000456
oct10541634730
93007854500
101166490072
115494a9290
122867a4160
13157890a17
14b0cc99d6
156c61ba4c
hex458739d8

1166490072 has 160 divisors (see below), whose sum is σ = 3679948800. Its totient is φ = 342014400.

The previous prime is 1166490067. The next prime is 1166490089. The reversal of 1166490072 is 2700946611.

1166490072 is a `hidden beast` number, since 1 + 1 + 6 + 649 + 0 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 218329 + ... + 223607.

It is an arithmetic number, because the mean of its divisors is an integer number (22999680).

Almost surely, 21166490072 is an apocalyptic number.

1166490072 is a gapful number since it is divisible by the number (12) 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 1166490072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839974400).

1166490072 is an abundant number, since it is smaller than the sum of its proper divisors (2513458728).

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

1166490072 is a wasteful number, since it uses less digits than its factorization.

1166490072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5339 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1166490072 is about 34153.9173741461. The cubic root of 1166490072 is about 1052.6734809569.

The spelling of 1166490072 in words is "one billion, one hundred sixty-six million, four hundred ninety thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 81 88 93 99 108 124 132 162 186 198 216 248 264 279 297 324 341 372 396 558 594 648 682 744 792 837 891 1023 1116 1188 1364 1674 1782 2046 2232 2376 2511 2728 3069 3348 3564 4092 5022 5279 6138 6696 7128 8184 9207 10044 10558 12276 15837 18414 20088 21116 24552 27621 31674 36828 42232 47511 55242 58069 63348 73656 95022 110484 116138 126696 142533 163649 174207 190044 220968 232276 285066 327298 348414 380088 427599 464552 490947 522621 570132 654596 696828 855198 981894 1045242 1140264 1309192 1393656 1472841 1567863 1710396 1800139 1963788 2090484 2945682 3135726 3420792 3600278 3927576 4180968 4418523 4703589 5400417 5891364 6271452 7200556 8837046 9407178 10800834 11782728 12542904 13255569 14401112 16201251 17674092 18814356 21601668 26511138 32402502 35348184 37628712 43203336 48603753 53022276 64805004 97207506 106044552 129610008 145811259 194415012 291622518 388830024 583245036 1166490072