Search a number
-
+
1033423120 = 2452329107181
BaseRepresentation
bin111101100110001…
…100100100010000
32200000120100000101
4331212030210100
54104024014440
6250313502144
734415644252
oct7546144420
92600510011
101033423120
114903820a4
1224a111954
13136140292
149b36bcd2
1560ad469a
hex3d98c910

1033423120 has 160 divisors (see below), whose sum is σ = 2632331520. Its totient is φ = 376104960.

The previous prime is 1033423109. The next prime is 1033423133. The reversal of 1033423120 is 213243301.

1033423120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 5709430 + ... + 5709610.

It is an arithmetic number, because the mean of its divisors is an integer number (16452072).

Almost surely, 21033423120 is an apocalyptic number.

1033423120 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 1033423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316165760).

1033423120 is an abundant number, since it is smaller than the sum of its proper divisors (1598908400).

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

1033423120 is a wasteful number, since it uses less digits than its factorization.

1033423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1033423120 is about 32146.8990728499. The cubic root of 1033423120 is about 1011.0191718610.

Adding to 1033423120 its reverse (213243301), we get a palindrome (1246666421).

The spelling of 1033423120 in words is "one billion, thirty-three million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 29 40 46 58 80 92 107 115 116 145 181 184 214 230 232 290 362 368 428 460 464 535 580 667 724 856 905 920 1070 1160 1334 1448 1712 1810 1840 2140 2320 2461 2668 2896 3103 3335 3620 4163 4280 4922 5249 5336 6206 6670 7240 8326 8560 9844 10498 10672 12305 12412 13340 14480 15515 16652 19367 19688 20815 20996 24610 24824 26245 26680 31030 33304 38734 39376 41630 41992 49220 49648 52490 53360 62060 66608 71369 77468 83260 83984 96835 98440 104980 120727 124120 142738 154936 166520 193670 196880 209960 241454 248240 285476 309872 333040 356845 387340 419920 445441 482908 561643 570952 603635 713690 774680 890882 965816 1123286 1141904 1207270 1427380 1549360 1781764 1931632 2227205 2246572 2414540 2808215 2854760 3563528 4454410 4493144 4829080 5616430 5709520 7127056 8908820 8986288 9658160 11232860 12917789 17817640 22465720 25835578 35635280 44931440 51671156 64588945 103342312 129177890 206684624 258355780 516711560 1033423120