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128924500 = 22531941331
BaseRepresentation
bin1111010111100…
…11101101010100
322222121001011111
413223303231110
5231001041000
620443144404
73123561115
oct753635524
9288531144
10128924500
1166857981
1237215104
13209300b3
14131a020c
15b4b9cba
hex7af3b54

128924500 has 96 divisors (see below), whose sum is σ = 304536960. Its totient is φ = 47520000.

The previous prime is 128924429. The next prime is 128924503. The reversal of 128924500 is 5429821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128924503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389335 + ... + 389665.

It is an arithmetic number, because the mean of its divisors is an integer number (3172260).

Almost surely, 2128924500 is an apocalyptic number.

128924500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128924500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152268480).

128924500 is an abundant number, since it is smaller than the sum of its proper divisors (175612460).

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

128924500 is a wasteful number, since it uses less digits than its factorization.

128924500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 128924500 is about 11354.4925029699. The cubic root of 128924500 is about 505.1788406869.

The spelling of 128924500 in words is "one hundred twenty-eight million, nine hundred twenty-four thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 41 50 76 82 95 100 125 164 190 205 250 331 380 410 475 500 662 779 820 950 1025 1324 1558 1655 1900 2050 2375 3116 3310 3895 4100 4750 5125 6289 6620 7790 8275 9500 10250 12578 13571 15580 16550 19475 20500 25156 27142 31445 33100 38950 41375 54284 62890 67855 77900 82750 97375 125780 135710 157225 165500 194750 257849 271420 314450 339275 389500 515698 628900 678550 786125 1031396 1289245 1357100 1572250 1696375 2578490 3144500 3392750 5156980 6446225 6785500 12892450 25784900 32231125 64462250 128924500