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1242708480 = 2934513461
BaseRepresentation
bin100101000010010…
…0011101000000000
310012121101010120000
41022010203220000
510021113132410
6323151320000
742536563536
oct11204435000
93177333500
101242708480
11588527302
122a8220000
1316a5c8a80
14bb08a156
1574174dc0
hex4a123a00

1242708480 has 400 divisors, whose sum is σ = 4803770664. Its totient is φ = 305233920.

The previous prime is 1242708461. The next prime is 1242708487. The reversal of 1242708480 is 848072421.

It can be written as a sum of positive squares in 4 ways, for example, as 664402176 + 578306304 = 25776^2 + 24048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1242708487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2695450 + ... + 2695910.

Almost surely, 21242708480 is an apocalyptic number.

1242708480 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 1242708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401885332).

1242708480 is an abundant number, since it is smaller than the sum of its proper divisors (3561062184).

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

1242708480 is an equidigital number, since it uses as much as digits as its factorization.

1242708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 1242708480 is about 35252.0705774852. The cubic root of 1242708480 is about 1075.1187119668.

The spelling of 1242708480 in words is "one billion, two hundred forty-two million, seven hundred eight thousand, four hundred eighty".