Search a number
-
+
2401270320 = 243510005293
BaseRepresentation
bin1000111100100000…
…0111101000110000
320012100102011121210
42033020013220300
514404211122240
61034135320120
7113335314051
oct21710075060
96170364553
102401270320
1110224aaa29
12570220040
132c3641c17
1418acb0728
15e0c27780
hex8f207a30

2401270320 has 40 divisors (see below), whose sum is σ = 7443938736. Its totient is φ = 640338688.

The previous prime is 2401270301. The next prime is 2401270321. The reversal of 2401270320 is 230721042.

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

It is not an unprimeable number, because it can be changed into a prime (2401270321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5002407 + ... + 5002886.

Almost surely, 22401270320 is an apocalyptic number.

2401270320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401270320 is an abundant number, since it is smaller than the sum of its proper divisors (5042668416).

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

2401270320 is a wasteful number, since it uses less digits than its factorization.

2401270320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10005309 (or 10005303 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2401270320 is about 49002.7582897126. The cubic root of 2401270320 is about 1339.1020790731.

Adding to 2401270320 its reverse (230721042), we get a palindrome (2631991362).

The spelling of 2401270320 in words is "two billion, four hundred one million, two hundred seventy thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 10005293 20010586 30015879 40021172 50026465 60031758 80042344 100052930 120063516 150079395 160084688 200105860 240127032 300158790 400211720 480254064 600317580 800423440 1200635160 2401270320