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1242212160 = 26357316789
BaseRepresentation
bin100101000001010…
…1010011101000000
310012120102220201210
41022002222131000
510021001242120
6323132530120
742532425540
oct11202523500
93176386653
101242212160
11588218422
122a8020940
1316a483ba7
14bad9b320
15740c7ce0
hex4a0aa740

1242212160 has 448 divisors, whose sum is σ = 4775362560. Its totient is φ = 267632640.

The previous prime is 1242212149. The next prime is 1242212173. The reversal of 1242212160 is 612122421.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13957396 + ... + 13957484.

Almost surely, 21242212160 is an apocalyptic number.

1242212160 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 1242212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387681280).

1242212160 is an abundant number, since it is smaller than the sum of its proper divisors (3533150400).

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

1242212160 is a wasteful number, since it uses less digits than its factorization.

1242212160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1242212160 is about 35245.0302879711. The cubic root of 1242212160 is about 1074.9755638938.

Adding to 1242212160 its reverse (612122421), we get a palindrome (1854334581).

The spelling of 1242212160 in words is "one billion, two hundred forty-two million, two hundred twelve thousand, one hundred sixty".