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128925984 = 2531131009
BaseRepresentation
bin1111010111101…
…00000100100000
322222121010012110
413223310010200
5231001112414
620443155320
73123565335
oct753640440
9288533173
10128925984
1166859000
1237215b40
1320930985
14131a098c
15b4ba459
hex7af4120

128925984 has 96 divisors (see below), whose sum is σ = 372617280. Its totient is φ = 39029760.

The previous prime is 128925949. The next prime is 128926009. The reversal of 128925984 is 489529821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127272 + ... + 128280.

It is an arithmetic number, because the mean of its divisors is an integer number (3881430).

Almost surely, 2128925984 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 128925984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186308640).

128925984 is an abundant number, since it is smaller than the sum of its proper divisors (243691296).

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

128925984 is a wasteful number, since it uses less digits than its factorization.

128925984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1025 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 128925984 is about 11354.5578513652. The cubic root of 128925984 is about 505.1807789855.

The spelling of 128925984 in words is "one hundred twenty-eight million, nine hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1009 1056 1331 1452 1936 2018 2662 2904 3027 3872 3993 4036 5324 5808 6054 7986 8072 10648 11099 11616 12108 15972 16144 21296 22198 24216 31944 32288 33297 42592 44396 48432 63888 66594 88792 96864 122089 127776 133188 177584 244178 266376 355168 366267 488356 532752 732534 976712 1065504 1342979 1465068 1953424 2685958 2930136 3906848 4028937 5371916 5860272 8057874 10743832 11720544 16115748 21487664 32231496 42975328 64462992 128925984