Search a number
-
+
1420255044 = 223213317957
BaseRepresentation
bin101010010100111…
…0101111101000100
310122222110102122200
41110221311331010
510402041130134
6352532554500
750123653155
oct12451657504
93588412580
101420255044
116697736aa
12337782a30
13198321000
14d68a592c
1584a46499
hex54a75f44

1420255044 has 72 divisors (see below), whose sum is σ = 3889343640. Its totient is φ = 436977216.

The previous prime is 1420255043. The next prime is 1420255087. The reversal of 1420255044 is 4405520241.

It can be written as a sum of positive squares in 4 ways, for example, as 56430144 + 1363824900 = 7512^2 + 36930^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1420254999 and 1420255017.

It is not an unprimeable number, because it can be changed into a prime (1420255043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70114 + ... + 88070.

Almost surely, 21420255044 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 1420255044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944671820).

1420255044 is an abundant number, since it is smaller than the sum of its proper divisors (2469088596).

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

1420255044 is a wasteful number, since it uses less digits than its factorization.

1420255044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18006 (or 17975 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 1420255044 is about 37686.2712934034. The cubic root of 1420255044 is about 1124.0581533384.

Adding to 1420255044 its reverse (4405520241), we get a palindrome (5825775285).

The spelling of 1420255044 in words is "one billion, four hundred twenty million, two hundred fifty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 2197 3042 4394 6084 6591 8788 13182 17957 19773 26364 35914 39546 53871 71828 79092 107742 161613 215484 233441 323226 466882 646452 700323 933764 1400646 2100969 2801292 3034733 4201938 6069466 8403876 9104199 12138932 18208398 27312597 36416796 39451529 54625194 78903058 109250388 118354587 157806116 236709174 355063761 473418348 710127522 1420255044