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1242002400 = 25352517501
BaseRepresentation
bin100101000000111…
…0111001111100000
310012120001020222220
41022001313033200
510020423034100
6323124231040
742530563152
oct11201671740
93176036886
101242002400
11588094871
122a7b3b480
1316a40c582
14bad44ad2
1574085aa0
hex4a0773e0

1242002400 has 72 divisors (see below), whose sum is σ = 4042725624. Its totient is φ = 331200000.

The previous prime is 1242002341. The next prime is 1242002413. The reversal of 1242002400 is 42002421.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1242002400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256351 + ... + 261150.

It is an arithmetic number, because the mean of its divisors is an integer number (56148967).

Almost surely, 21242002400 is an apocalyptic number.

1242002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242002400 is an abundant number, since it is smaller than the sum of its proper divisors (2800723224).

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

1242002400 is a wasteful number, since it uses less digits than its factorization.

1242002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517524 (or 517511 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1242002400 is about 35242.0544236570. The cubic root of 1242002400 is about 1074.9150536807.

Adding to 1242002400 its reverse (42002421), we get a palindrome (1284004821).

The spelling of 1242002400 in words is "one billion, two hundred forty-two million, two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 517501 1035002 1552503 2070004 2587505 3105006 4140008 5175010 6210012 7762515 8280016 10350020 12420024 12937525 15525030 16560032 20700040 24840048 25875050 31050060 38812575 41400080 49680096 51750100 62100120 77625150 82800160 103500200 124200240 155250300 207000400 248400480 310500600 414000800 621001200 1242002400