Search a number
-
+
128500704 = 25323137389
BaseRepresentation
bin1111010100011…
…00001111100000
322221210111211100
413222030033200
5230344010304
620430114400
73120144423
oct752141740
9287714740
10128500704
1166598532
123704ba00
1320812227
14130cd9ba
15b434439
hex7a8c3e0

128500704 has 144 divisors (see below), whose sum is σ = 388402560. Its totient is φ = 40227840.

The previous prime is 128500703. The next prime is 128500721. The reversal of 128500704 is 407005821.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128500703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330142 + ... + 330530.

It is an arithmetic number, because the mean of its divisors is an integer number (2697240).

Almost surely, 2128500704 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 128500704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194201280).

128500704 is an abundant number, since it is smaller than the sum of its proper divisors (259901856).

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

128500704 is a wasteful number, since it uses less digits than its factorization.

128500704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 128500704 is about 11335.8151008209. The cubic root of 128500704 is about 504.6246977910.

The spelling of 128500704 in words is "one hundred twenty-eight million, five hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 37 48 62 72 74 93 96 111 124 144 148 186 222 248 279 288 296 333 372 389 444 496 558 592 666 744 778 888 992 1116 1147 1167 1184 1332 1488 1556 1776 2232 2294 2334 2664 2976 3112 3441 3501 3552 4464 4588 4668 5328 6224 6882 7002 8928 9176 9336 10323 10656 12059 12448 13764 14004 14393 18352 18672 20646 24118 27528 28008 28786 36177 36704 37344 41292 43179 48236 55056 56016 57572 72354 82584 86358 96472 108531 110112 112032 115144 129537 144708 165168 172716 192944 217062 230288 259074 289416 330336 345432 385888 434124 446183 460576 518148 578832 690864 868248 892366 1036296 1157664 1338549 1381728 1736496 1784732 2072592 2677098 3472992 3569464 4015647 4145184 5354196 7138928 8031294 10708392 14277856 16062588 21416784 32125176 42833568 64250352 128500704