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320113420 = 225118916349
BaseRepresentation
bin10011000101001…
…000101100001100
3211022100110001121
4103011020230030
51123422112140
651433050324
710634630164
oct2305105414
9738313047
10320113420
11154771a50
128b2569a4
1351420a33
143072b5a4
151d18364a
hex13148b0c

320113420 has 48 divisors (see below), whose sum is σ = 741636000. Its totient is φ = 115089920.

The previous prime is 320113411. The next prime is 320113427. The reversal of 320113420 is 24311023.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 320113394 and 320113403.

It is not an unprimeable number, because it can be changed into a prime (320113427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11406 + ... + 27754.

It is an arithmetic number, because the mean of its divisors is an integer number (15450750).

Almost surely, 2320113420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320113420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370818000).

320113420 is an abundant number, since it is smaller than the sum of its proper divisors (421522580).

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

320113420 is a wasteful number, since it uses less digits than its factorization.

320113420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16458 (or 16456 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 320113420 is about 17891.7137245150. The cubic root of 320113420 is about 684.0711797384.

Adding to 320113420 its reverse (24311023), we get a palindrome (344424443).

The spelling of 320113420 in words is "three hundred twenty million, one hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 220 356 445 890 979 1780 1958 3916 4895 9790 16349 19580 32698 65396 81745 163490 179839 326980 359678 719356 899195 1455061 1798390 2910122 3596780 5820244 7275305 14550610 16005671 29101220 32011342 64022684 80028355 160056710 320113420