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1214206320 = 24357276959
BaseRepresentation
bin100100001011111…
…0101000101110000
310010121202001221110
41020113311011300
54441314100240
6320252353320
742042404055
oct11027650560
93117661843
101214206320
1157342a1a8
1229a775840
131647297a2
14b738b02c
15718e4c80
hex485f5170

1214206320 has 80 divisors (see below), whose sum is σ = 3769758720. Its totient is φ = 323296512.

The previous prime is 1214206303. The next prime is 1214206321. The reversal of 1214206320 is 236024121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214206321) 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, 171001 + ... + 177959.

It is an arithmetic number, because the mean of its divisors is an integer number (47121984).

Almost surely, 21214206320 is an apocalyptic number.

1214206320 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 1214206320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884879360).

1214206320 is an abundant number, since it is smaller than the sum of its proper divisors (2555552400).

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

1214206320 is a wasteful number, since it uses less digits than its factorization.

1214206320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7702 (or 7696 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1214206320 is about 34845.4634063030. The cubic root of 1214206320 is about 1066.8355921699.

The spelling of 1214206320 in words is "one billion, two hundred fourteen million, two hundred six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 727 1454 2181 2908 3635 4362 5816 6959 7270 8724 10905 11632 13918 14540 17448 20877 21810 27836 29080 34795 34896 41754 43620 55672 58160 69590 83508 87240 104385 111344 139180 167016 174480 208770 278360 334032 417540 556720 835080 1670160 5059193 10118386 15177579 20236772 25295965 30355158 40473544 50591930 60710316 75887895 80947088 101183860 121420632 151775790 202367720 242841264 303551580 404735440 607103160 1214206320