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1242360000 = 26325471729
BaseRepresentation
bin100101000001100…
…1110100011000000
310012120201102112100
41022003032203000
510021021010000
6323140030400
742533612550
oct11203164300
93176642470
101242360000
11588309502
122a8092400
1316a50627b
14badd9160
1574106a00
hex4a0ce8c0

1242360000 has 840 divisors, whose sum is σ = 5570341920. Its totient is φ = 258048000.

The previous prime is 1242359981. The next prime is 1242360013. The reversal of 1242360000 is 632421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 119 ways as a sum of consecutive naturals, for example, 42839986 + ... + 42840014.

Almost surely, 21242360000 is an apocalyptic number.

1242360000 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 1242360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785170960).

1242360000 is an abundant number, since it is smaller than the sum of its proper divisors (4327981920).

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

1242360000 is a wasteful number, since it uses less digits than its factorization.

1242360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1242360000 is about 35247.1275425388. The cubic root of 1242360000 is about 1075.0182077320.

Adding to 1242360000 its reverse (632421), we get a palindrome (1242992421).

The spelling of 1242360000 in words is "one billion, two hundred forty-two million, three hundred sixty thousand".