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129341772 = 2234728147
BaseRepresentation
bin1111011010110…
…01100101001100
3100000101020120000
413231121211030
5231102414042
620500124300
73130246500
oct755314514
9300336500
10129341772
116701242a
1237396690
1320a47cc1
141326c300
15b54d74c
hex7b5994c

129341772 has 90 divisors (see below), whose sum is σ = 393377292. Its totient is φ = 36950256.

The previous prime is 129341767. The next prime is 129341801. The reversal of 129341772 is 277143921.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11803 + ... + 19949.

Almost surely, 2129341772 is an apocalyptic number.

129341772 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 129341772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196688646).

129341772 is an abundant number, since it is smaller than the sum of its proper divisors (264035520).

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

129341772 is a wasteful number, since it uses less digits than its factorization.

129341772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8177 (or 8159 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 129341772 is about 11372.8524126536. The cubic root of 129341772 is about 505.7232677848.

It can be divided in two parts, 12934 and 1772, that added together give a triangular number (14706 = T171).

The spelling of 129341772 in words is "one hundred twenty-nine million, three hundred forty-one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 8147 15876 16294 24441 32588 48882 57029 73323 97764 114058 146646 171087 219969 228116 293292 342174 399203 439938 513261 659907 684348 798406 879876 1026522 1197609 1319814 1539783 1596812 2053044 2395218 2639628 3079566 3592827 4619349 4790436 6159132 7185654 9238698 10778481 14371308 18477396 21556962 32335443 43113924 64670886 129341772