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104976729 = 3611131953
BaseRepresentation
bin1100100000111…
…01000101011001
321022112101000000
412100131011121
5203333223404
614230003213
72413200414
oct620350531
9238471000
10104976729
1154290630
122b1a6509
1318996b10
14dd28b7b
159339339
hex641d159

104976729 has 112 divisors (see below), whose sum is σ = 198313920. Its totient is φ = 54587520.

The previous prime is 104976689. The next prime is 104976743. The reversal of 104976729 is 927679401.

104976729 is nontrivially palindromic in base 15.

It is not a de Polignac number, because 104976729 - 29 = 104976217 is a prime.

It is a super-2 number, since 2×1049767292 = 22040227263078882, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104976749) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1980667 + ... + 1980719.

It is an arithmetic number, because the mean of its divisors is an integer number (1770660).

Almost surely, 2104976729 is an apocalyptic number.

104976729 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

104976729 is a deficient number, since it is larger than the sum of its proper divisors (93337191).

104976729 is a wasteful number, since it uses less digits than its factorization.

104976729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 104976729 is about 10245.8151945075. The cubic root of 104976729 is about 471.7345429307.

It can be divided in two parts, 104976 and 729, that multiplied together give a square (76527504 = 87482).

The spelling of 104976729 in words is "one hundred four million, nine hundred seventy-six thousand, seven hundred twenty-nine".

Divisors: 1 3 9 11 13 19 27 33 39 53 57 81 99 117 143 159 171 209 243 247 297 351 429 477 513 583 627 689 729 741 891 1007 1053 1287 1431 1539 1749 1881 2067 2223 2673 2717 3021 3159 3861 4293 4617 5247 5643 6201 6669 7579 8019 8151 9063 9477 11077 11583 12879 13091 13851 15741 16929 18603 20007 22737 24453 27189 33231 34749 38637 39273 47223 50787 55809 60021 68211 73359 81567 99693 104247 117819 141669 144001 152361 167427 180063 204633 220077 244701 299079 353457 425007 432003 502281 613899 660231 734103 897237 1060371 1296009 1841697 1980693 2691711 3181113 3888027 5525091 8075133 9543339 11664081 34992243 104976729