Search a number
-
+
1214401420 = 225376126903
BaseRepresentation
bin100100001100010…
…0100101110001100
310010122002222120101
41020120210232030
54441341321140
6320300500444
742044145631
oct11030445614
93118088511
101214401420
11573552841
1229a84a724
1316479752b
14b73dc188
157193299a
hex48624b8c

1214401420 has 48 divisors (see below), whose sum is σ = 2662204608. Its totient is φ = 464866560.

The previous prime is 1214401387. The next prime is 1214401421. The reversal of 1214401420 is 241044121.

It is not an unprimeable number, because it can be changed into a prime (1214401421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31689 + ... + 58591.

It is an arithmetic number, because the mean of its divisors is an integer number (55462596).

Almost surely, 21214401420 is an apocalyptic number.

1214401420 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 1214401420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331102304).

1214401420 is an abundant number, since it is smaller than the sum of its proper divisors (1447803188).

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

1214401420 is a wasteful number, since it uses less digits than its factorization.

1214401420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27010 (or 27008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1214401420 is about 34848.2627974480. The cubic root of 1214401420 is about 1066.8927292131.

Adding to 1214401420 its reverse (241044121), we get a palindrome (1455445541).

The spelling of 1214401420 in words is "one billion, two hundred fourteen million, four hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 61 74 122 148 185 244 305 370 610 740 1220 2257 4514 9028 11285 22570 26903 45140 53806 107612 134515 269030 538060 995411 1641083 1990822 3282166 3981644 4977055 6564332 8205415 9954110 16410830 19908220 32821660 60720071 121440142 242880284 303600355 607200710 1214401420