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1214312420 = 225195036353
BaseRepresentation
bin100100001100000…
…1110111111100100
310010121221110111002
41020120032333210
54441330444140
6320254532432
742043325306
oct11030167744
93117843432
101214312420
115734a1992
1229a807118
13164765b79
14b73b7976
1571916415
hex4860efe4

1214312420 has 48 divisors (see below), whose sum is σ = 2690029440. Its totient is φ = 459173376.

The previous prime is 1214312419. The next prime is 1214312483. The reversal of 1214312420 is 242134121.

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 = 1214312392 and 1214312401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187964 + ... + 194316.

It is an arithmetic number, because the mean of its divisors is an integer number (56042280).

Almost surely, 21214312420 is an apocalyptic number.

1214312420 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 1214312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345014720).

1214312420 is an abundant number, since it is smaller than the sum of its proper divisors (1475717020).

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

1214312420 is a wasteful number, since it uses less digits than its factorization.

1214312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6884 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1214312420 is about 34846.9858093925. The cubic root of 1214312420 is about 1066.8666654061.

Adding to 1214312420 its reverse (242134121), we get a palindrome (1456446541).

The spelling of 1214312420 in words is "one billion, two hundred fourteen million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 503 1006 2012 2515 5030 6353 9557 10060 12706 19114 25412 31765 38228 47785 63530 95570 120707 127060 191140 241414 482828 603535 1207070 2414140 3195559 6391118 12782236 15977795 31955590 60715621 63911180 121431242 242862484 303578105 607156210 1214312420