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128364380 = 22519223773
BaseRepresentation
bin1111010011010…
…10111101011100
322221112120211022
413221222331130
5230330130010
620423143312
73116036114
oct751527534
9287476738
10128364380
1166505071
1236ba4b38
1320795171
1413096044
15b408d55
hex7a6af5c

128364380 has 72 divisors (see below), whose sum is σ = 297253152. Its totient is φ = 46468224.

The previous prime is 128364377. The next prime is 128364389. The reversal of 128364380 is 83463821.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 128364380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128364389) 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 23 ways as a sum of consecutive naturals, for example, 165674 + ... + 166446.

It is an arithmetic number, because the mean of its divisors is an integer number (4128516).

Almost surely, 2128364380 is an apocalyptic number.

128364380 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 128364380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148626576).

128364380 is an abundant number, since it is smaller than the sum of its proper divisors (168888772).

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

128364380 is a wasteful number, since it uses less digits than its factorization.

128364380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 128364380 is about 11329.8005278116. The cubic root of 128364380 is about 504.4461856730.

The spelling of 128364380 in words is "one hundred twenty-eight million, three hundred sixty-four thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 361 380 437 460 722 773 874 1444 1546 1748 1805 2185 3092 3610 3865 4370 7220 7730 8303 8740 14687 15460 16606 17779 29374 33212 35558 41515 58748 71116 73435 83030 88895 146870 166060 177790 279053 293740 337801 355580 558106 675602 1116212 1351204 1395265 1689005 2790530 3378010 5581060 6418219 6756020 12836438 25672876 32091095 64182190 128364380