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128753064 = 233811223
BaseRepresentation
bin1111010110010…
…01110110101000
322222021100000000
413223021312220
5230430044224
620435343000
73122245236
oct753116650
9288240000
10128753064
11667500a0
1237151a60
13208a005b
1413157956
15b4840c9
hex7ac9da8

128753064 has 144 divisors (see below), whose sum is σ = 396789120. Its totient is φ = 38841120.

The previous prime is 128752999. The next prime is 128753071. The reversal of 128753064 is 460357821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 577257 + ... + 577479.

It is an arithmetic number, because the mean of its divisors is an integer number (2755480).

Almost surely, 2128753064 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 128753064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198394560).

128753064 is an abundant number, since it is smaller than the sum of its proper divisors (268036056).

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

128753064 is an equidigital number, since it uses as much as digits as its factorization.

128753064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 128753064 is about 11346.9407330787. The cubic root of 128753064 is about 504.9548226095.

The spelling of 128753064 in words is "one hundred twenty-eight million, seven hundred fifty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 223 243 264 297 324 396 446 486 594 648 669 729 792 891 892 972 1188 1338 1458 1782 1784 1944 2007 2187 2376 2453 2673 2676 2916 3564 4014 4374 4906 5346 5352 5832 6021 6561 7128 7359 8019 8028 8748 9812 10692 12042 13122 14718 16038 16056 17496 18063 19624 21384 22077 24057 24084 26244 29436 32076 36126 44154 48114 48168 52488 54189 58872 64152 66231 72171 72252 88308 96228 108378 132462 144342 144504 162567 176616 192456 198693 216756 264924 288684 325134 397386 433512 487701 529848 577368 596079 650268 794772 975402 1192158 1300536 1463103 1589544 1788237 1950804 2384316 2926206 3576474 3901608 4768632 5364711 5852412 7152948 10729422 11704824 14305896 16094133 21458844 32188266 42917688 64376532 128753064