Search a number
-
+
2305632720 = 24359606803
BaseRepresentation
bin1000100101101101…
…0010100111010000
312221200110021111110
42021123102213100
514210220221340
61020441413320
7111064361166
oct21133224720
95850407443
102305632720
11a83518a96
1254419a240
132a9897c21
1417c2d7236
15d7635680
hex896d29d0

2305632720 has 40 divisors (see below), whose sum is σ = 7147462176. Its totient is φ = 614835328.

The previous prime is 2305632713. The next prime is 2305632727. The reversal of 2305632720 is 272365032.

It is an interprime number because it is at equal distance from previous prime (2305632713) and next prime (2305632727).

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2305632727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4803162 + ... + 4803641.

Almost surely, 22305632720 is an apocalyptic number.

2305632720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2305632720 is an abundant number, since it is smaller than the sum of its proper divisors (4841829456).

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

2305632720 is a wasteful number, since it uses less digits than its factorization.

2305632720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9606819 (or 9606813 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 2305632720 is about 48017.0044879936. The cubic root of 2305632720 is about 1321.0828121558.

Adding to 2305632720 its reverse (272365032), we get a palindrome (2577997752).

The spelling of 2305632720 in words is "two billion, three hundred five million, six hundred thirty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 9606803 19213606 28820409 38427212 48034015 57640818 76854424 96068030 115281636 144102045 153708848 192136060 230563272 288204090 384272120 461126544 576408180 768544240 1152816360 2305632720