Search a number
-
+
1401433220 = 2251142115131
BaseRepresentation
bin101001110001000…
…0010110010000100
310121200001011222002
41103202002302010
510332231330340
6351021324432
746504662065
oct12342026204
93550034862
101401433220
1165a088580
12331406718
13194460c35
14d41a656c
1583079715
hex53882c84

1401433220 has 48 divisors (see below), whose sum is σ = 3218394816. Its totient is φ = 508368000.

The previous prime is 1401433139. The next prime is 1401433237. The reversal of 1401433220 is 223341041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1401433192 and 1401433201.

It is an unprimeable number.

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, 85055 + ... + 100185.

It is an arithmetic number, because the mean of its divisors is an integer number (67049892).

Almost surely, 21401433220 is an apocalyptic number.

1401433220 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 1401433220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609197408).

1401433220 is an abundant number, since it is smaller than the sum of its proper divisors (1816961596).

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

1401433220 is a wasteful number, since it uses less digits than its factorization.

1401433220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15572 (or 15570 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1401433220 is about 37435.7211764379. The cubic root of 1401433220 is about 1119.0705564987.

Adding to 1401433220 its reverse (223341041), we get a palindrome (1624774261).

The spelling of 1401433220 in words is "one billion, four hundred one million, four hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 421 842 1684 2105 4210 4631 8420 9262 15131 18524 23155 30262 46310 60524 75655 92620 151310 166441 302620 332882 665764 832205 1664410 3328820 6370151 12740302 25480604 31850755 63701510 70071661 127403020 140143322 280286644 350358305 700716610 1401433220