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1242760320 = 2735561131
BaseRepresentation
bin100101000010011…
…0000010010000000
310012121110202200000
41022010300102000
510021121312240
6323152400000
742540200634
oct11204602200
93177422600
101242760320
1158856224a
122a8246000
1316a616549
14bb0a0dc4
1574185430
hex4a130480

1242760320 has 384 divisors, whose sum is σ = 4557833280. Its totient is φ = 323481600.

The previous prime is 1242760301. The next prime is 1242760361. The reversal of 1242760320 is 230672421.

1242760320 is a `hidden beast` number, since 12 + 4 + 27 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 9486655 + ... + 9486785.

Almost surely, 21242760320 is an apocalyptic number.

1242760320 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 1242760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278916640).

1242760320 is an abundant number, since it is smaller than the sum of its proper divisors (3315072960).

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

1242760320 is an equidigital number, since it uses as much as digits as its factorization.

1242760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1242760320 is about 35252.8058457763. The cubic root of 1242760320 is about 1075.1336614045.

The spelling of 1242760320 in words is "one billion, two hundred forty-two million, seven hundred sixty thousand, three hundred twenty".