Search a number
-
+
129428544 = 2637235379
BaseRepresentation
bin1111011011011…
…10110001000000
3100000112122120210
413231232301000
5231113203134
620502034120
73131060460
oct755566100
9300478523
10129428544
1167071643
1237418940
1320a7864b
1413291ba0
15b5692e9
hex7b6ec40

129428544 has 224 divisors, whose sum is σ = 421355520. Its totient is φ = 34265088.

The previous prime is 129428501. The next prime is 129428549. The reversal of 129428544 is 445824921.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (129428549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1638297 + ... + 1638375.

Almost surely, 2129428544 is an apocalyptic number.

129428544 is a gapful number since it is divisible by the number (14) 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 129428544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210677760).

129428544 is an abundant number, since it is smaller than the sum of its proper divisors (291926976).

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

129428544 is a wasteful number, since it uses less digits than its factorization.

129428544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 129428544 is about 11376.6666471335. Note that the first 4 decimals coincide. The cubic root of 129428544 is about 505.8363346596.

The spelling of 129428544 in words is "one hundred twenty-nine million, four hundred twenty-eight thousand, five hundred forty-four".