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1427388480 = 2634577867
BaseRepresentation
bin101010100010100…
…0011100001000000
310200110212211220000
41111011003201000
510410402412410
6353345520000
750241413310
oct12505034100
93613784800
101427388480
116727a6101
1233a043000
1319994ab8b
14d7801440
15854a4dc0
hex55143840

1427388480 has 280 divisors, whose sum is σ = 5803562688. Its totient is φ = 326218752.

The previous prime is 1427388467. The next prime is 1427388481. The reversal of 1427388480 is 848837241.

It is a tau number, because it is divible by the number of its divisors (280).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1427388481) 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, 177507 + ... + 185373.

Almost surely, 21427388480 is an apocalyptic number.

1427388480 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 1427388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901781344).

1427388480 is an abundant number, since it is smaller than the sum of its proper divisors (4376174208).

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

1427388480 is an equidigital number, since it uses as much as digits as its factorization.

1427388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7903 (or 7884 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 1427388480 is about 37780.7951213312. The cubic root of 1427388480 is about 1125.9369261562.

The spelling of 1427388480 in words is "one billion, four hundred twenty-seven million, three hundred eighty-eight thousand, four hundred eighty".