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128327130 = 23254183419
BaseRepresentation
bin1111010011000…
…01110111011010
322221110200201200
413221201313122
5230322432010
620422255030
73115522401
oct751416732
9287420650
10128327130
116648a088
1236b87476
1320781219
1413086638
15b3eccc0
hex7a61dda

128327130 has 96 divisors (see below), whose sum is σ = 346731840. Its totient is φ = 32904960.

The previous prime is 128327123. The next prime is 128327131. The reversal of 128327130 is 31723821.

It is a junction number, because it is equal to n+sod(n) for n = 128327094 and 128327103.

It is not an unprimeable number, because it can be changed into a prime (128327131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306061 + ... + 306479.

It is an arithmetic number, because the mean of its divisors is an integer number (3611790).

Almost surely, 2128327130 is an apocalyptic number.

128327130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128327130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173365920).

128327130 is an abundant number, since it is smaller than the sum of its proper divisors (218404710).

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

128327130 is a wasteful number, since it uses less digits than its factorization.

128327130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 128327130 is about 11328.1565137493. The cubic root of 128327130 is about 504.3973859506.

The spelling of 128327130 in words is "one hundred twenty-eight million, three hundred twenty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 83 90 123 166 205 246 249 369 410 415 419 498 615 738 747 830 838 1230 1245 1257 1494 1845 2095 2490 2514 3403 3690 3735 3771 4190 6285 6806 7470 7542 10209 12570 17015 17179 18855 20418 30627 34030 34358 34777 37710 51045 51537 61254 69554 85895 102090 103074 104331 153135 154611 171790 173885 208662 257685 306270 309222 312993 347770 515370 521655 625986 773055 1043310 1425857 1546110 1564965 2851714 3129930 4277571 7129285 8555142 12832713 14258570 21387855 25665426 42775710 64163565 128327130