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1213470720 = 21134571119
BaseRepresentation
bin100100001010100…
…0001100000000000
310010120100200220000
41020111001200000
54441122030340
6320224520000
742033221340
oct11025014000
93116320800
101213470720
11572a77570
1229a480000
1316452ca17
14b7238d20
15717ebd30
hex48541800

1213470720 has 960 divisors, whose sum is σ = 5708102400. Its totient is φ = 238878720.

The previous prime is 1213470719. The next prime is 1213470733. The reversal of 1213470720 is 270743121.

It is a happy number.

1213470720 is a `hidden beast` number, since 121 + 3 + 470 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×12134707202 = 2945022376594636800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63866871 + ... + 63866889.

It is an arithmetic number, because the mean of its divisors is an integer number (5945940).

Almost surely, 21213470720 is an apocalyptic number.

1213470720 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 1213470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854051200).

1213470720 is an abundant number, since it is smaller than the sum of its proper divisors (4494631680).

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

1213470720 is a wasteful number, since it uses less digits than its factorization.

1213470720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1213470720 is about 34834.9066311365. The cubic root of 1213470720 is about 1066.6201090790.

The spelling of 1213470720 in words is "one billion, two hundred thirteen million, four hundred seventy thousand, seven hundred twenty".