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1242256400 = 245271153761
BaseRepresentation
bin100101000001011…
…0101010000010000
310012120112011102022
41022002311100100
510021004201100
6323133511012
742533001530
oct11202652020
93176464368
101242256400
11588248690
122a8042468
1316a49b078
14badad4c0
15740d5e85
hex4a0b5410

1242256400 has 240 divisors, whose sum is σ = 3796149888. Its totient is φ = 379392000.

The previous prime is 1242256373. The next prime is 1242256409. The reversal of 1242256400 is 46522421.

It is a self number, because there is not a number n which added to its sum of digits gives 1242256400.

It is not an unprimeable number, because it can be changed into a prime (1242256409) 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, 1632020 + ... + 1632780.

Almost surely, 21242256400 is an apocalyptic number.

1242256400 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 1242256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898074944).

1242256400 is an abundant number, since it is smaller than the sum of its proper divisors (2553893488).

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

1242256400 is a wasteful number, since it uses less digits than its factorization.

1242256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 839 counting only the distinct ones).

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

The square root of 1242256400 is about 35245.6578885967. The cubic root of 1242256400 is about 1074.9883250940.

Adding to 1242256400 its reverse (46522421), we get a palindrome (1288778821).

The spelling of 1242256400 in words is "one billion, two hundred forty-two million, two hundred fifty-six thousand, four hundred".