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313200420 = 223513401539
BaseRepresentation
bin10010101010110…
…000111100100100
3210211100020012120
4102222300330210
51120134403140
651024545540
710522105521
oct2252607444
9724306176
10313200420
11150880125
1288a822b0
134cb702c0
142d84c148
151c76a1d0
hex12ab0f24

313200420 has 48 divisors (see below), whose sum is σ = 944422080. Its totient is φ = 77095296.

The previous prime is 313200403. The next prime is 313200421. The reversal of 313200420 is 24002313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 313200420.

It is not an unprimeable number, because it can be changed into a prime (313200421) 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 15 ways as a sum of consecutive naturals, for example, 199990 + ... + 201549.

It is an arithmetic number, because the mean of its divisors is an integer number (19675460).

Almost surely, 2313200420 is an apocalyptic number.

313200420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313200420 is an abundant number, since it is smaller than the sum of its proper divisors (631221660).

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

313200420 is a wasteful number, since it uses less digits than its factorization.

313200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401564 (or 401562 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 313200420 is about 17697.4693106105. The cubic root of 313200420 is about 679.1110211393. Note that the first 3 decimals are identical.

Adding to 313200420 its reverse (24002313), we get a palindrome (337202733).

The spelling of 313200420 in words is "three hundred thirteen million, two hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 401539 803078 1204617 1606156 2007695 2409234 4015390 4818468 5220007 6023085 8030780 10440014 12046170 15660021 20880028 24092340 26100035 31320042 52200070 62640084 78300105 104400140 156600210 313200420