Search a number
-
+
128153328 = 24319831693
BaseRepresentation
bin1111010001101…
…11011011110000
322221010212022120
413220313123300
5230301401303
620414434240
73114166602
oct750673360
9287125276
10128153328
1166380546
1236b02980
1320720094
141303d172
15b3b6553
hex7a376f0

128153328 has 80 divisors (see below), whose sum is σ = 352894080. Its totient is φ = 39958272.

The previous prime is 128153323. The next prime is 128153329. The reversal of 128153328 is 823351821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128153323) 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, 74850 + ... + 76542.

It is an arithmetic number, because the mean of its divisors is an integer number (4411176).

Almost surely, 2128153328 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 128153328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176447040).

128153328 is an abundant number, since it is smaller than the sum of its proper divisors (224740752).

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

128153328 is a wasteful number, since it uses less digits than its factorization.

128153328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1800 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 128153328 is about 11320.4826752219. The cubic root of 128153328 is about 504.1695700521.

The spelling of 128153328 in words is "one hundred twenty-eight million, one hundred fifty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 83 114 152 166 228 249 304 332 456 498 664 912 996 1328 1577 1693 1992 3154 3386 3984 4731 5079 6308 6772 9462 10158 12616 13544 18924 20316 25232 27088 32167 37848 40632 64334 75696 81264 96501 128668 140519 193002 257336 281038 386004 421557 514672 562076 772008 843114 1124152 1544016 1686228 2248304 2669861 3372456 5339722 6744912 8009583 10679444 16019166 21358888 32038332 42717776 64076664 128153328