Search a number
-
+
120203328 = 2637175261
BaseRepresentation
bin1110010101000…
…10100001000000
322101011221222010
413022202201000
5221233001303
615532212520
72656466010
oct712424100
9271157863
10120203328
11619405a3
123430a140
131bb9863b
1411d6dc40
15a845c03
hex72a2840

120203328 has 112 divisors (see below), whose sum is σ = 384925824. Its totient is φ = 32317440.

The previous prime is 120203309. The next prime is 120203357. The reversal of 120203328 is 823302021.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20218 + ... + 25478.

Almost surely, 2120203328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120203328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192462912).

120203328 is an abundant number, since it is smaller than the sum of its proper divisors (264722496).

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

120203328 is a wasteful number, since it uses less digits than its factorization.

120203328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 120203328 is about 10963.7278331779. The cubic root of 120203328 is about 493.5208409861.

Adding to 120203328 its reverse (823302021), we get a palindrome (943505349).

The spelling of 120203328 in words is "one hundred twenty million, two hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5261 5712 7616 10522 11424 15783 21044 22848 31566 36827 42088 63132 73654 84176 89437 110481 126264 147308 168352 178874 220962 252528 268311 294616 336704 357748 441924 505056 536622 589232 626059 715496 883848 1010112 1073244 1178464 1252118 1430992 1767696 1878177 2146488 2356928 2504236 2861984 3535392 3756354 4292976 5008472 5723968 7070784 7512708 8585952 10016944 15025416 17171904 20033888 30050832 40067776 60101664 120203328