Search a number
-
+
129830784 = 2731991699
BaseRepresentation
bin1111011110100…
…00111110000000
3100001022002100120
413233100332000
5231214041114
620514420240
73134354256
oct757207600
9301262316
10129830784
1167316876
1237591680
1320b89765
14133585d6
15b5e85a9
hex7bd0f80

129830784 has 64 divisors (see below), whose sum is σ = 346800000. Its totient is φ = 43034112.

The previous prime is 129830783. The next prime is 129830849. The reversal of 129830784 is 487038921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129830783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75567 + ... + 77265.

It is an arithmetic number, because the mean of its divisors is an integer number (5418750).

Almost surely, 2129830784 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 129830784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173400000).

129830784 is an abundant number, since it is smaller than the sum of its proper divisors (216969216).

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

129830784 is a wasteful number, since it uses less digits than its factorization.

129830784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 129830784 is about 11394.3312221473. The cubic root of 129830784 is about 506.3598080353.

The spelling of 129830784 in words is "one hundred twenty-nine million, eight hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 384 398 597 796 1194 1592 1699 2388 3184 3398 4776 5097 6368 6796 9552 10194 12736 13592 19104 20388 25472 27184 38208 40776 54368 76416 81552 108736 163104 217472 326208 338101 652416 676202 1014303 1352404 2028606 2704808 4057212 5409616 8114424 10819232 16228848 21638464 32457696 43276928 64915392 129830784