Search a number
-
+
129207232 = 26711157167
BaseRepresentation
bin1111011001110…
…00101111000000
3100000010102000001
413230320233000
5231034112412
620453205344
73126146320
oct754705700
9300112001
10129207232
1166a30340
1237330854
13209cb9ab
1413235280
15b523957
hex7b38bc0

129207232 has 112 divisors (see below), whose sum is σ = 323624448. Its totient is φ = 49720320.

The previous prime is 129207229. The next prime is 129207233. The reversal of 129207232 is 232702921.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1292072322 = 33389017602203648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 129207232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129207233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773613 + ... + 773779.

It is an arithmetic number, because the mean of its divisors is an integer number (2889504).

Almost surely, 2129207232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129207232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161812224).

129207232 is an abundant number, since it is smaller than the sum of its proper divisors (194417216).

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

129207232 is a wasteful number, since it uses less digits than its factorization.

129207232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 129207232 is about 11366.9359107897. The cubic root of 129207232 is about 505.5478575453.

The spelling of 129207232 in words is "one hundred twenty-nine million, two hundred seven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 157 167 176 224 308 314 334 352 448 616 628 668 704 1099 1169 1232 1256 1336 1727 1837 2198 2338 2464 2512 2672 3454 3674 4396 4676 4928 5024 5344 6908 7348 8792 9352 10048 10688 12089 12859 13816 14696 17584 18704 24178 25718 26219 27632 29392 35168 37408 48356 51436 52438 55264 58784 70336 74816 96712 102872 104876 110528 117568 183533 193424 205744 209752 288409 367066 386848 411488 419504 576818 734132 773696 822976 839008 1153636 1468264 1678016 2018863 2307272 2936528 4037726 4614544 5873056 8075452 9229088 11746112 16150904 18458176 32301808 64603616 129207232