Search a number
-
+
128713104 = 24331324143
BaseRepresentation
bin1111010110000…
…00000110010000
322222012022012000
413223000012100
5230422304404
620434434000
73122020602
oct753000620
9288168160
10128713104
1166723073
1237132900
1320887b00
1413147172
15b477339
hex7ac0190

128713104 has 240 divisors, whose sum is σ = 419348160. Its totient is φ = 37739520.

The previous prime is 128713099. The next prime is 128713141. The reversal of 128713104 is 401317821.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2993307 + ... + 2993349.

It is an arithmetic number, because the mean of its divisors is an integer number (1747284).

Almost surely, 2128713104 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 128713104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209674080).

128713104 is an abundant number, since it is smaller than the sum of its proper divisors (290635056).

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

128713104 is a wasteful number, since it uses less digits than its factorization.

128713104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 128713104 is about 11345.1797693999. The cubic root of 128713104 is about 504.9025776844.

The spelling of 128713104 in words is "one hundred twenty-eight million, seven hundred thirteen thousand, one hundred four".