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230610780 = 223351725121
BaseRepresentation
bin11011011111011…
…01011101011100
3121001221020112000
431233231131130
5433014021110
634514442300
75500105431
oct1557553534
9531836460
10230610780
111091a0324
1265293390
1338a142aa
14228adb88
15153a41c0
hexdbed75c

230610780 has 96 divisors (see below), whose sum is σ = 759689280. Its totient is φ = 57876480.

The previous prime is 230610713. The next prime is 230610803. The reversal of 230610780 is 87016032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3381 + ... + 21740.

It is an arithmetic number, because the mean of its divisors is an integer number (7913430).

Almost surely, 2230610780 is an apocalyptic number.

230610780 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 230610780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379844640).

230610780 is an abundant number, since it is smaller than the sum of its proper divisors (529078500).

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

230610780 is a wasteful number, since it uses less digits than its factorization.

230610780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25156 (or 25148 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 230610780 is about 15185.8743574415. The cubic root of 230610780 is about 613.2344365065.

The spelling of 230610780 in words is "two hundred thirty million, six hundred ten thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 25121 50242 75363 100484 125605 150726 226089 251210 301452 376815 427057 452178 502420 678267 753630 854114 904356 1130445 1281171 1356534 1507260 1708228 2135285 2260890 2562342 2713068 3391335 3843513 4270570 4521780 5124684 6405855 6782670 7687026 8541140 11530539 12811710 13565340 15374052 19217565 23061078 25623420 38435130 46122156 57652695 76870260 115305390 230610780