Search a number
-
+
129461300 = 22525412393
BaseRepresentation
bin1111011011101…
…10110000110100
3100000121022111222
413231312300310
5231120230200
620502445512
73131255123
oct755666064
9300538458
10129461300
1167094211
1237433898
1320a8a527
141329daba
15b573d85
hex7b76c34

129461300 has 36 divisors (see below), whose sum is σ = 281567916. Its totient is φ = 51667200.

The previous prime is 129461279. The next prime is 129461327. The reversal of 129461300 is 3164921.

129461300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 31292836 + 98168464 = 5594^2 + 9908^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 129461300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52904 + ... + 55296.

It is an arithmetic number, because the mean of its divisors is an integer number (7821331).

Almost surely, 2129461300 is an apocalyptic number.

129461300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129461300 is an abundant number, since it is smaller than the sum of its proper divisors (152106616).

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

129461300 is a wasteful number, since it uses less digits than its factorization.

129461300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 129461300 is about 11378.1061693060. The cubic root of 129461300 is about 505.8790037053.

The spelling of 129461300 in words is "one hundred twenty-nine million, four hundred sixty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 541 1082 2164 2393 2705 4786 5410 9572 10820 11965 13525 23930 27050 47860 54100 59825 119650 239300 1294613 2589226 5178452 6473065 12946130 25892260 32365325 64730650 129461300