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230560720 = 24513832671
BaseRepresentation
bin11011011111000…
…01001111010000
3121001211200211221
431233201033100
5433010420340
634513414424
75466506455
oct1557411720
9531750757
10230560720
11109166755
126526a414
13389c7580
142289982c
151539444a
hexdbe13d0

230560720 has 80 divisors (see below), whose sum is σ = 584462592. Its totient is φ = 84072960.

The previous prime is 230560703. The next prime is 230560721. The reversal of 230560720 is 27065032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230560721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84985 + ... + 87655.

Almost surely, 2230560720 is an apocalyptic number.

230560720 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 230560720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292231296).

230560720 is an abundant number, since it is smaller than the sum of its proper divisors (353901872).

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

230560720 is a wasteful number, since it uses less digits than its factorization.

230560720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 230560720 is about 15184.2260257150. The cubic root of 230560720 is about 613.1900605274.

The spelling of 230560720 in words is "two hundred thirty million, five hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 83 104 130 166 208 260 332 415 520 664 830 1040 1079 1328 1660 2158 2671 3320 4316 5342 5395 6640 8632 10684 10790 13355 17264 21368 21580 26710 34723 42736 43160 53420 69446 86320 106840 138892 173615 213680 221693 277784 347230 443386 555568 694460 886772 1108465 1388920 1773544 2216930 2777840 2882009 3547088 4433860 5764018 8867720 11528036 14410045 17735440 23056072 28820090 46112144 57640180 115280360 230560720