Search a number
-
+
129020232 = 23311539221
BaseRepresentation
bin1111011000010…
…11000101001000
322222202220111010
413230023011020
5231012121412
620445203520
73124440165
oct754130510
9288686433
10129020232
11669128a0
12372605a0
1320964843
14131c706c
15b4d833c
hex7b0b148

129020232 has 64 divisors (see below), whose sum is σ = 358551360. Its totient is φ = 38355200.

The previous prime is 129020207. The next prime is 129020261. The reversal of 129020232 is 232020921.

It is a junction number, because it is equal to n+sod(n) for n = 129020199 and 129020208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9382 + ... + 18602.

It is an arithmetic number, because the mean of its divisors is an integer number (5602365).

Almost surely, 2129020232 is an apocalyptic number.

129020232 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 129020232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179275680).

129020232 is an abundant number, since it is smaller than the sum of its proper divisors (229531128).

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

129020232 is a wasteful number, since it uses less digits than its factorization.

129020232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9294 (or 9290 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 129020232 is about 11358.7073208178. The cubic root of 129020232 is about 505.3038487743.

The spelling of 129020232 in words is "one hundred twenty-nine million, twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 212 264 318 424 583 636 1166 1272 1749 2332 3498 4664 6996 9221 13992 18442 27663 36884 55326 73768 101431 110652 202862 221304 304293 405724 488713 608586 811448 977426 1217172 1466139 1954852 2434344 2932278 3909704 5375843 5864556 10751686 11729112 16127529 21503372 32255058 43006744 64510116 129020232