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1242400256 = 2917473037
BaseRepresentation
bin100101000001101…
…1000011000000000
310012120210110202022
41022003120120000
510021023302011
6323140541012
742534141116
oct11203303000
93176713668
101242400256
11588336779
122a80b1768
1316a51b6a6
14bb009ab6
15741138db
hex4a0d8600

1242400256 has 80 divisors (see below), whose sum is σ = 2685203136. Its totient is φ = 572030976.

The previous prime is 1242400207. The next prime is 1242400261. The reversal of 1242400256 is 6520042421.

It is a super-2 number, since 2×12424002562 = 3087116792217731072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407570 + ... + 410606.

Almost surely, 21242400256 is an apocalyptic number.

1242400256 is a gapful number since it is divisible by the number (16) 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 1242400256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342601568).

1242400256 is an abundant number, since it is smaller than the sum of its proper divisors (1442802880).

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

1242400256 is an equidigital number, since it uses as much as digits as its factorization.

1242400256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 1242400256 is about 35247.6985915393. The cubic root of 1242400256 is about 1075.0298188231.

Adding to 1242400256 its reverse (6520042421), we get a palindrome (7762442677).

The spelling of 1242400256 in words is "one billion, two hundred forty-two million, four hundred thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 128 136 188 256 272 376 512 544 752 799 1088 1504 1598 2176 3008 3037 3196 4352 6016 6074 6392 8704 12032 12148 12784 24064 24296 25568 48592 51136 51629 97184 102272 103258 142739 194368 204544 206516 285478 388736 409088 413032 570956 777472 826064 1141912 1554944 1652128 2283824 2426563 3304256 4567648 4853126 6608512 9135296 9706252 13217024 18270592 19412504 26434048 36541184 38825008 73082368 77650016 155300032 310600064 621200128 1242400256