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129226104 = 2334731919
BaseRepresentation
bin1111011001111…
…01010101111000
3100000011100220000
413230331111320
5231040213404
620453433000
73126255330
oct754752570
9300140800
10129226104
1166a43537
123733b760
1320a07467
141323c0c0
15b529339
hex7b3d578

129226104 has 160 divisors (see below), whose sum is σ = 427468800. Its totient is φ = 35691840.

The previous prime is 129226099. The next prime is 129226109. The reversal of 129226104 is 401622921.

129226104 is a `hidden beast` number, since 1 + 29 + 22 + 610 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (129226099) and next prime (129226109).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129226109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 140157 + ... + 141075.

It is an arithmetic number, because the mean of its divisors is an integer number (2671680).

Almost surely, 2129226104 is an apocalyptic number.

129226104 is a gapful number since it is divisible by the number (14) 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 129226104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213734400).

129226104 is an abundant number, since it is smaller than the sum of its proper divisors (298242696).

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

129226104 is a wasteful number, since it uses less digits than its factorization.

129226104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 129226104 is about 11367.7660074440. The cubic root of 129226104 is about 505.5724697763.

The spelling of 129226104 in words is "one hundred twenty-nine million, two hundred twenty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 81 84 93 108 124 126 162 168 186 189 216 217 248 252 279 324 372 378 434 504 558 567 648 651 744 756 837 868 919 1116 1134 1302 1512 1674 1736 1838 1953 2232 2268 2511 2604 2757 3348 3676 3906 4536 5022 5208 5514 5859 6433 6696 7352 7812 8271 10044 11028 11718 12866 15624 16542 17577 19299 20088 22056 23436 24813 25732 28489 33084 35154 38598 46872 49626 51464 56978 57897 66168 70308 74439 77196 85467 99252 113956 115794 140616 148878 154392 170934 173691 198504 199423 227912 231588 256401 297756 341868 347382 398846 463176 512802 521073 595512 598269 683736 694764 769203 797692 1025604 1042146 1196538 1389528 1538406 1595384 1794807 2051208 2084292 2307609 2393076 3076812 3589614 4168584 4615218 4786152 5384421 6153624 7179228 9230436 10768842 14358456 16153263 18460872 21537684 32306526 43075368 64613052 129226104