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129323808 = 25321912351
BaseRepresentation
bin1111011010101…
…01001100100000
3100000100022220200
413231111030200
5231101330213
620455505200
73130143225
oct755251440
9300308820
10129323808
1166aaa989
1237388200
1320a3ca83
141326594c
15b548273
hex7b55320

129323808 has 72 divisors (see below), whose sum is σ = 369847296. Its totient is φ = 42864000.

The previous prime is 129323801. The next prime is 129323809. The reversal of 129323808 is 808323921.

It is a happy number.

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 (129323801) 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 11 ways as a sum of consecutive naturals, for example, 53833 + ... + 56183.

It is an arithmetic number, because the mean of its divisors is an integer number (5136768).

Almost surely, 2129323808 is an apocalyptic number.

129323808 is a gapful number since it is divisible by the number (18) 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 129323808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184923648).

129323808 is an abundant number, since it is smaller than the sum of its proper divisors (240523488).

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

129323808 is a wasteful number, since it uses less digits than its factorization.

129323808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 129323808 is about 11372.0626097467. The cubic root of 129323808 is about 505.6998537625.

The spelling of 129323808 in words is "one hundred twenty-nine million, three hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 191 288 382 573 764 1146 1528 1719 2292 2351 3056 3438 4584 4702 6112 6876 7053 9168 9404 13752 14106 18336 18808 21159 27504 28212 37616 42318 55008 56424 75232 84636 112848 169272 225696 338544 449041 677088 898082 1347123 1796164 2694246 3592328 4041369 5388492 7184656 8082738 10776984 14369312 16165476 21553968 32330952 43107936 64661904 129323808