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128001276 = 22331327013
BaseRepresentation
bin1111010000100…
…10010011111100
322220212010202000
413220102103330
5230232020101
620411302300
73112664364
oct750222374
9286763660
10128001276
1166287287
1236a4a990
1320698b00
1412ddd9a4
15b386486
hex7a124fc

128001276 has 72 divisors (see below), whose sum is σ = 359397360. Its totient is φ = 39379392.

The previous prime is 128001259. The next prime is 128001277. The reversal of 128001276 is 672100821.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128001277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14746 + ... + 21758.

It is an arithmetic number, because the mean of its divisors is an integer number (4991630).

Almost surely, 2128001276 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 128001276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179698680).

128001276 is an abundant number, since it is smaller than the sum of its proper divisors (231396084).

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

128001276 is a wasteful number, since it uses less digits than its factorization.

128001276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7052 (or 7031 counting only the distinct ones).

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

The square root of 128001276 is about 11313.7648906100. The cubic root of 128001276 is about 503.9700945974.

The spelling of 128001276 in words is "one hundred twenty-eight million, one thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 3042 4563 6084 7013 9126 14026 18252 21039 28052 42078 63117 84156 91169 126234 182338 189351 252468 273507 364676 378702 547014 757404 820521 1094028 1185197 1641042 2370394 2461563 3282084 3555591 4740788 4923126 7111182 9846252 10666773 14222364 21333546 32000319 42667092 64000638 128001276