Search a number
-
+
128372132 = 227192271063
BaseRepresentation
bin1111010011011…
…00110110100100
322221112222110102
413221230312210
5230330402012
620423243232
73116100530
oct751546644
9287488412
10128372132
116650a979
1236ba9518
1320798855
1413098bc0
15b40b2c2
hex7a6cda4

128372132 has 48 divisors (see below), whose sum is σ = 271703040. Its totient is φ = 51842592.

The previous prime is 128372119. The next prime is 128372137. The reversal of 128372132 is 231273821.

It is a junction number, because it is equal to n+sod(n) for n = 128372095 and 128372104.

It is not an unprimeable number, because it can be changed into a prime (128372137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120233 + ... + 121295.

It is an arithmetic number, because the mean of its divisors is an integer number (5660480).

Almost surely, 2128372132 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 128372132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135851520).

128372132 is an abundant number, since it is smaller than the sum of its proper divisors (143330908).

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

128372132 is a wasteful number, since it uses less digits than its factorization.

128372132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1318 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 128372132 is about 11330.1426292876. The cubic root of 128372132 is about 504.4563400686.

The spelling of 128372132 in words is "one hundred twenty-eight million, three hundred seventy-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 227 266 454 532 908 1063 1589 2126 3178 4252 4313 6356 7441 8626 14882 17252 20197 29764 30191 40394 60382 80788 120764 141379 241301 282758 482602 565516 965204 1689107 3378214 4584719 6756428 9169438 18338876 32093033 64186066 128372132