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1242465400 = 23521117139239
BaseRepresentation
bin100101000001110…
…1000010001111000
310012120220210010001
41022003220101320
510021032343100
6323142202344
742534532051
oct11203502170
93176823101
101242465400
11588380710
122a81233b4
1316a542237
14bb025728
1574127d6a
hex4a0e8478

1242465400 has 192 divisors, whose sum is σ = 3374784000. Its totient is φ = 420403200.

The previous prime is 1242465391. The next prime is 1242465401. The reversal of 1242465400 is 45642421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242465401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5198481 + ... + 5198719.

It is an arithmetic number, because the mean of its divisors is an integer number (17577000).

Almost surely, 21242465400 is an apocalyptic number.

1242465400 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 1242465400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687392000).

1242465400 is an abundant number, since it is smaller than the sum of its proper divisors (2132318600).

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

1242465400 is a wasteful number, since it uses less digits than its factorization.

1242465400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 1242465400 is about 35248.6226681270. The cubic root of 1242465400 is about 1075.0486078616.

The spelling of 1242465400 in words is "one billion, two hundred forty-two million, four hundred sixty-five thousand, four hundred".