Search a number
-
+
253500030 = 2355722129
BaseRepresentation
bin11110001110000…
…01101001111110
3122200000010200000
433013001221332
51004344000110
641053215130
76165500100
oct1707015176
9580003600
10253500030
11120104363
1270a914a6
1340699824
142594b570
15173c61c0
hexf1c1a7e

253500030 has 144 divisors (see below), whose sum is σ = 795478320. Its totient is φ = 57915648.

The previous prime is 253500029. The next prime is 253500041. The reversal of 253500030 is 30005352.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 253499976 and 253500012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 118006 + ... + 120134.

It is an arithmetic number, because the mean of its divisors is an integer number (5524155).

Almost surely, 2253500030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253500030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397739160).

253500030 is an abundant number, since it is smaller than the sum of its proper divisors (541978290).

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

253500030 is a wasteful number, since it uses less digits than its factorization.

253500030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 253500030 is about 15921.6842702021. The cubic root of 253500030 is about 632.8867522748.

Adding to 253500030 its reverse (30005352), we get a palindrome (283505382).

The spelling of 253500030 in words is "two hundred fifty-three million, five hundred thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 243 245 270 294 315 378 405 441 486 490 567 630 735 810 882 945 1134 1215 1323 1470 1701 1890 2129 2205 2430 2646 2835 3402 3969 4258 4410 5670 6387 6615 7938 8505 10645 11907 12774 13230 14903 17010 19161 19845 21290 23814 29806 31935 38322 39690 44709 57483 59535 63870 74515 89418 95805 104321 114966 119070 134127 149030 172449 191610 208642 223545 268254 287415 312963 344898 402381 447090 517347 521605 574830 625926 670635 804762 862245 938889 1034694 1043210 1207143 1341270 1564815 1724490 1877778 2011905 2414286 2586735 2816667 3129630 3621429 4023810 4694445 5173470 5633334 6035715 7242858 8450001 9388890 12071430 14083335 16900002 18107145 25350003 28166670 36214290 42250005 50700006 84500010 126750015 253500030