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1242795840 = 263511213823
BaseRepresentation
bin100101000010011…
…1000111101000000
310012121112120101120
41022010320331000
510021123431330
6323153232240
742540406326
oct11204707500
93177476346
101242795840
11588586a00
122a8262680
1316a629770
14bb0add16
1574190c10
hex4a138f40

1242795840 has 336 divisors, whose sum is σ = 4676509824. Its totient is φ = 277770240.

The previous prime is 1242795839. The next prime is 1242795877. The reversal of 1242795840 is 485972421.

It is a junction number, because it is equal to n+sod(n) for n = 1242795792 and 1242795801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1509669 + ... + 1510491.

It is an arithmetic number, because the mean of its divisors is an integer number (13918184).

Almost surely, 21242795840 is an apocalyptic number.

1242795840 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 1242795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338254912).

1242795840 is an abundant number, since it is smaller than the sum of its proper divisors (3433713984).

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

1242795840 is a wasteful number, since it uses less digits than its factorization.

1242795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 1242795840 is about 35253.3096318629. The cubic root of 1242795840 is about 1075.1439042978.

The spelling of 1242795840 in words is "one billion, two hundred forty-two million, seven hundred ninety-five thousand, eight hundred forty".