Search a number
-
+
253086030 = 232541107641
BaseRepresentation
bin11110001010111…
…00100101001110
3122122020002202200
433011130211032
51004242223110
641040302330
76162124101
oct1705344516
9578202680
10253086030
1111a95130a
12709119a6
1340583262
1425880738
15173436c0
hexf15c94e

253086030 has 96 divisors (see below), whose sum is σ = 681434208. Its totient is φ = 65126400.

The previous prime is 253086019. The next prime is 253086037. The reversal of 253086030 is 30680352.

253086030 is a `hidden beast` number, since 2 + 53 + 0 + 8 + 603 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 253085985 and 253086003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253086037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394510 + ... + 395150.

It is an arithmetic number, because the mean of its divisors is an integer number (7098273).

Almost surely, 2253086030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253086030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340717104).

253086030 is an abundant number, since it is smaller than the sum of its proper divisors (428348178).

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

253086030 is a wasteful number, since it uses less digits than its factorization.

253086030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 253086030 is about 15908.6778206110. The cubic root of 253086030 is about 632.5420345241.

The spelling of 253086030 in words is "two hundred fifty-three million, eighty-six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 107 123 205 214 246 321 369 410 535 615 641 642 738 963 1070 1230 1282 1605 1845 1923 1926 3205 3210 3690 3846 4387 4815 5769 6410 8774 9615 9630 11538 13161 19230 21935 26281 26322 28845 39483 43870 52562 57690 65805 68587 78843 78966 131405 131610 137174 157686 197415 205761 236529 262810 342935 394215 394830 411522 473058 617283 685870 788430 1028805 1182645 1234566 2057610 2365290 2812067 3086415 5624134 6172830 8436201 14060335 16872402 25308603 28120670 42181005 50617206 84362010 126543015 253086030