Search a number
-
+
1110000420 = 223256166669
BaseRepresentation
bin100001000101001…
…0100001100100100
32212100122212022200
41002022110030210
54233130003140
6302051054500
736335563554
oct10212241444
92770585280
101110000420
1151a625821
1226b8a1430
13148c727a9
14a75c3164
15676ae030
hex42294324

1110000420 has 36 divisors (see below), whose sum is σ = 3367001820. Its totient is φ = 296000064.

The previous prime is 1110000389. The next prime is 1110000427. The reversal of 1110000420 is 240000111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 179506404 + 930494016 = 13398^2 + 30504^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1110000427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3083155 + ... + 3083514.

Almost surely, 21110000420 is an apocalyptic number.

1110000420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110000420 is an abundant number, since it is smaller than the sum of its proper divisors (2257001400).

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

1110000420 is a wasteful number, since it uses less digits than its factorization.

1110000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6166684 (or 6166679 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1110000420 is about 33316.6688010671. The cubic root of 1110000420 is about 1035.3989360392.

Adding to 1110000420 its reverse (240000111), we get a palindrome (1350000531).

The spelling of 1110000420 in words is "one billion, one hundred ten million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6166669 12333338 18500007 24666676 30833345 37000014 55500021 61666690 74000028 92500035 111000042 123333380 185000070 222000084 277500105 370000140 555000210 1110000420