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128523340 = 22511612157
BaseRepresentation
bin1111010100100…
…01110001001100
322221211122212201
413222101301030
5230400221330
620430411244
73120300421
oct752216114
9287748781
10128523340
1166603540
1237060b24
132081c61a
14130d7d48
15b43aeca
hex7a91c4c

128523340 has 72 divisors (see below), whose sum is σ = 301247856. Its totient is φ = 45676800.

The previous prime is 128523337. The next prime is 128523347. The reversal of 128523340 is 43325821.

It is a junction number, because it is equal to n+sod(n) for n = 128523299 and 128523308.

It is not an unprimeable number, because it can be changed into a prime (128523347) 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, 818542 + ... + 818698.

It is an arithmetic number, because the mean of its divisors is an integer number (4183998).

Almost surely, 2128523340 is an apocalyptic number.

128523340 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 128523340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150623928).

128523340 is an abundant number, since it is smaller than the sum of its proper divisors (172724516).

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

128523340 is a wasteful number, since it uses less digits than its factorization.

128523340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 128523340 is about 11336.8134852788. The cubic root of 128523340 is about 504.6543267182.

The spelling of 128523340 in words is "one hundred twenty-eight million, five hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 157 220 244 305 314 610 628 671 785 1220 1342 1570 1727 2684 3140 3355 3454 3721 6710 6908 7442 8635 9577 13420 14884 17270 18605 19154 34540 37210 38308 40931 47885 74420 81862 95770 105347 163724 191540 204655 210694 409310 421388 526735 584197 818620 1053470 1168394 2106940 2336788 2920985 5841970 6426167 11683940 12852334 25704668 32130835 64261670 128523340