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4453135320 = 2335471934091
BaseRepresentation
bin1000010010110110…
…10111001111011000
3102111100100201020210
410021123113033120
533110000312240
62013514051120
7215232011544
oct41133271730
912440321223
104453135320
111985751527
12a43419aa0
1355c77851a
143035caa24
151b0e32780
hex1096d73d8

4453135320 has 128 divisors (see below), whose sum is σ = 13717693440. Its totient is φ = 1155932160.

The previous prime is 4453135303. The next prime is 4453135331. The reversal of 4453135320 is 235313544.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1086475 + ... + 1090565.

It is an arithmetic number, because the mean of its divisors is an integer number (107169480).

Almost surely, 24453135320 is an apocalyptic number.

4453135320 is a gapful number since it is divisible by the number (40) 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 4453135320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858846720).

4453135320 is an abundant number, since it is smaller than the sum of its proper divisors (9264558120).

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

4453135320 is a wasteful number, since it uses less digits than its factorization.

4453135320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345 (or 4341 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 4453135320 is about 66731.8163996755. The cubic root of 4453135320 is about 1645.2123622205.

Adding to 4453135320 its reverse (235313544), we get a palindrome (4688448864).

The spelling of 4453135320 in words is "four billion, four hundred fifty-three million, one hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 193 235 282 376 386 470 564 579 705 772 940 965 1128 1158 1410 1544 1880 1930 2316 2820 2895 3860 4091 4632 5640 5790 7720 8182 9071 11580 12273 16364 18142 20455 23160 24546 27213 32728 36284 40910 45355 49092 54426 61365 72568 81820 90710 98184 108852 122730 136065 163640 181420 192277 217704 245460 272130 362840 384554 490920 544260 576831 769108 789563 961385 1088520 1153662 1538216 1579126 1922770 2307324 2368689 2884155 3158252 3845540 3947815 4614648 4737378 5768310 6316504 7691080 7895630 9474756 11536620 11843445 15791260 18949512 23073240 23686890 31582520 37109461 47373780 74218922 94747560 111328383 148437844 185547305 222656766 296875688 371094610 445313532 556641915 742189220 890627064 1113283830 1484378440 2226567660 4453135320