Search a number
-
+
203450880 = 293559449
BaseRepresentation
bin11000010000001…
…10101000000000
3112011211101010210
430020012220000
5404040412010
632104354120
75020206153
oct1410065000
9464741123
10203450880
11a492a726
1258175940
13331c4c49
141d03dc9a
1512cdbb20
hexc206a00

203450880 has 160 divisors (see below), whose sum is σ = 662904000. Its totient is φ = 53215232.

The previous prime is 203450873. The next prime is 203450881. The reversal of 203450880 is 88054302.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (203450881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452896 + ... + 453344.

It is an arithmetic number, because the mean of its divisors is an integer number (4143150).

Almost surely, 2203450880 is an apocalyptic number.

203450880 is a gapful number since it is divisible by the number (20) 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 203450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331452000).

203450880 is an abundant number, since it is smaller than the sum of its proper divisors (459453120).

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

203450880 is an equidigital number, since it uses as much as digits as its factorization.

203450880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 203450880 is about 14263.6208586740. The cubic root of 203450880 is about 588.1478641509.

The spelling of 203450880 in words is "two hundred three million, four hundred fifty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 128 160 177 192 236 240 256 295 320 354 384 449 472 480 512 590 640 708 768 885 898 944 960 1180 1280 1347 1416 1536 1770 1796 1888 1920 2245 2360 2560 2694 2832 3540 3592 3776 3840 4490 4720 5388 5664 6735 7080 7184 7552 7680 8980 9440 10776 11328 13470 14160 14368 15104 17960 18880 21552 22656 26491 26940 28320 28736 30208 35920 37760 43104 45312 52982 53880 56640 57472 71840 75520 79473 86208 90624 105964 107760 113280 114944 132455 143680 151040 158946 172416 211928 215520 226560 229888 264910 287360 317892 344832 397365 423856 431040 453120 529820 574720 635784 689664 794730 847712 862080 1059640 1149440 1271568 1589460 1695424 1724160 2119280 2543136 3178920 3390848 3448320 4238560 5086272 6357840 6781696 8477120 10172544 12715680 13563392 16954240 20345088 25431360 33908480 40690176 50862720 67816960 101725440 203450880