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1200013420 = 225417320047
BaseRepresentation
bin100011110000110…
…1100000001101100
310002122000222221111
41013201230001230
54424200412140
6315024241404
741510642254
oct10741540154
93078028844
101200013420
11566415931
12295a70264
131617ca618
14b5534964
157053e7ea
hex4786c06c

1200013420 has 48 divisors (see below), whose sum is σ = 2616985728. Its totient is φ = 461859840.

The previous prime is 1200013363. The next prime is 1200013471. The reversal of 1200013420 is 243100021.

It is a self number, because there is not a number n which added to its sum of digits gives 1200013420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49837 + ... + 69883.

It is an arithmetic number, because the mean of its divisors is an integer number (54520536).

Almost surely, 21200013420 is an apocalyptic number.

1200013420 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 1200013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308492864).

1200013420 is an abundant number, since it is smaller than the sum of its proper divisors (1416972308).

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

1200013420 is a wasteful number, since it uses less digits than its factorization.

1200013420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20170 (or 20168 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1200013420 is about 34641.2098518513. The cubic root of 1200013420 is about 1062.6625305228.

Adding to 1200013420 its reverse (243100021), we get a palindrome (1443113441).

The spelling of 1200013420 in words is "one billion, two hundred million, thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 73 82 146 164 205 292 365 410 730 820 1460 2993 5986 11972 14965 20047 29930 40094 59860 80188 100235 200470 400940 821927 1463431 1643854 2926862 3287708 4109635 5853724 7317155 8219270 14634310 16438540 29268620 60000671 120001342 240002684 300003355 600006710 1200013420