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1242767680 = 265711311627
BaseRepresentation
bin100101000010011…
…0010000101000000
310012121111010202121
41022010302011000
510021122031210
6323152454024
742540231250
oct11204620500
93177433677
101242767680
11588567830
122a824a314
1316a6199bb
14bb0a3960
15741876da
hex4a132140

1242767680 has 224 divisors, whose sum is σ = 3810926592. Its totient is φ = 374630400.

The previous prime is 1242767663. The next prime is 1242767683. The reversal of 1242767680 is 867672421.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242767683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763027 + ... + 764653.

Almost surely, 21242767680 is an apocalyptic number.

1242767680 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 1242767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905463296).

1242767680 is an abundant number, since it is smaller than the sum of its proper divisors (2568158912).

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

1242767680 is a wasteful number, since it uses less digits than its factorization.

1242767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 1242767680 is about 35252.9102344757. The cubic root of 1242767680 is about 1075.1357838219.

The spelling of 1242767680 in words is "one billion, two hundred forty-two million, seven hundred sixty-seven thousand, six hundred eighty".