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129534252 = 223234111447
BaseRepresentation
bin1111011100010…
…00100100101100
3100000202000120220
413232020210230
5231130044002
620504211340
73132010611
oct756104454
9300660526
10129534252
1167134001
1237469b50
1320ab47b3
14132bc508
15b58a7bc
hex7b8892c

129534252 has 48 divisors (see below), whose sum is σ = 323108352. Its totient is φ = 40289920.

The previous prime is 129534247. The next prime is 129534257. The reversal of 129534252 is 252435921.

It is an interprime number because it is at equal distance from previous prime (129534247) and next prime (129534257).

It is not an unprimeable number, because it can be changed into a prime (129534257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5593 + ... + 17039.

It is an arithmetic number, because the mean of its divisors is an integer number (6731424).

Almost surely, 2129534252 is an apocalyptic number.

129534252 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 129534252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161554176).

129534252 is an abundant number, since it is smaller than the sum of its proper divisors (193574100).

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

129534252 is a wasteful number, since it uses less digits than its factorization.

129534252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11518 (or 11516 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 129534252 is about 11381.3115237217. The cubic root of 129534252 is about 505.9740075282.

It can be divided in two parts, 12953 and 4252, that added together give a triangular number (17205 = T185).

The spelling of 129534252 in words is "one hundred twenty-nine million, five hundred thirty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 246 276 492 943 1886 2829 3772 5658 11316 11447 22894 34341 45788 68682 137364 263281 469327 526562 789843 938654 1053124 1407981 1579686 1877308 2815962 3159372 5631924 10794521 21589042 32383563 43178084 64767126 129534252