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128623768 = 237131719547
BaseRepresentation
bin1111010101010…
…10010010011000
322222000202122021
413222222102120
5230411430033
620432504224
73121166260
oct752522230
9288022567
10128623768
1166671a39
12370ab074
1320856250
14131227a0
15b45ab2d
hex7aaa498

128623768 has 128 divisors (see below), whose sum is σ = 331430400. Its totient is φ = 45287424.

The previous prime is 128623741. The next prime is 128623769. The reversal of 128623768 is 867326821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128623769) 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 31 ways as a sum of consecutive naturals, for example, 234871 + ... + 235417.

It is an arithmetic number, because the mean of its divisors is an integer number (2589300).

Almost surely, 2128623768 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 128623768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165715200).

128623768 is an abundant number, since it is smaller than the sum of its proper divisors (202806632).

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

128623768 is a wasteful number, since it uses less digits than its factorization.

128623768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 605 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 128623768 is about 11341.2419073045. The cubic root of 128623768 is about 504.7857379458.

The spelling of 128623768 in words is "one hundred twenty-eight million, six hundred twenty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 17 19 26 28 34 38 52 56 68 76 91 104 119 133 136 152 182 221 238 247 266 323 364 442 476 494 532 547 646 728 884 952 988 1064 1094 1292 1547 1729 1768 1976 2188 2261 2584 3094 3458 3829 4199 4376 4522 6188 6916 7111 7658 8398 9044 9299 10393 12376 13832 14222 15316 16796 18088 18598 20786 28444 29393 30632 33592 37196 41572 49777 56888 58786 65093 72751 74392 83144 99554 117572 120887 130186 135109 145502 176681 199108 235144 241774 260372 270218 291004 353362 398216 483548 520744 540436 582008 706724 846209 945763 967096 1080872 1236767 1413448 1692418 1891526 2296853 2473534 3384836 3783052 4593706 4947068 6769672 7566104 9187412 9894136 16077971 18374824 32155942 64311884 128623768