Search a number
-
+
1401303220 = 225378921277
BaseRepresentation
bin101001110000110…
…0011000010110100
310121122210120122021
41103201203002310
510332213200340
6351014442524
746503611062
oct12341430264
93548716567
101401303220
11659aa9939
12331363444
13194416a05
14d4171032
1583050e4a
hex538630b4

1401303220 has 48 divisors (see below), whose sum is σ = 3056371920. Its totient is φ = 539218944.

The previous prime is 1401303203. The next prime is 1401303223. The reversal of 1401303220 is 223031041.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 114789796 + 1286513424 = 10714^2 + 35868^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1401303194 and 1401303203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401303223) 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, 55222 + ... + 76498.

It is an arithmetic number, because the mean of its divisors is an integer number (63674415).

Almost surely, 21401303220 is an apocalyptic number.

1401303220 is a gapful number since it is divisible by the number (10) 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 1401303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528185960).

1401303220 is an abundant number, since it is smaller than the sum of its proper divisors (1655068700).

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

1401303220 is a wasteful number, since it uses less digits than its factorization.

1401303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21412 (or 21410 counting only the distinct ones).

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

The square root of 1401303220 is about 37433.9848266251. The cubic root of 1401303220 is about 1119.0359529540.

Adding to 1401303220 its reverse (223031041), we get a palindrome (1624334261).

The spelling of 1401303220 in words is "one billion, four hundred one million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 89 148 178 185 356 370 445 740 890 1780 3293 6586 13172 16465 21277 32930 42554 65860 85108 106385 212770 425540 787249 1574498 1893653 3148996 3787306 3936245 7574612 7872490 9468265 15744980 18936530 37873060 70065161 140130322 280260644 350325805 700651610 1401303220