Search a number
-
+
129159072 = 2532764067
BaseRepresentation
bin1111011001011…
…00111110100000
3100000000221221100
413230230332200
5231031042242
620452154400
73125556030
oct754547640
9300027840
10129159072
11669a8139
1237308a00
13209b2ab3
14132218c0
15b51454c
hex7b2cfa0

129159072 has 72 divisors (see below), whose sum is σ = 419773536. Its totient is φ = 36902016.

The previous prime is 129159067. The next prime is 129159073. The reversal of 129159072 is 270951921.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (129159073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30018 + ... + 34049.

It is an arithmetic number, because the mean of its divisors is an integer number (5830188).

Almost surely, 2129159072 is an apocalyptic number.

129159072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

129159072 is an abundant number, since it is smaller than the sum of its proper divisors (290614464).

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

129159072 is a wasteful number, since it uses less digits than its factorization.

129159072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64090 (or 64079 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 129159072 is about 11364.8172884565. The cubic root of 129159072 is about 505.4850380213.

It can be divided in two parts, 129 and 159072, that added together give a square (159201 = 3992).

The spelling of 129159072 in words is "one hundred twenty-nine million, one hundred fifty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 64067 128134 192201 256268 384402 448469 512536 576603 768804 896938 1025072 1153206 1345407 1537608 1793876 2050144 2306412 2690814 3075216 3587752 4036221 4612824 5381628 6150432 7175504 8072442 9225648 10763256 14351008 16144884 18451296 21526512 32289768 43053024 64579536 129159072