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1054020480 = 2735372401
BaseRepresentation
bin111110110100110…
…001001110000000
32201110022210021120
4332310301032000
54124312123410
6252331152240
735056012002
oct7664611600
92643283246
101054020480
114a0a70207
12254ba5680
1313a4a2576
149ddb0372
1562802570
hex3ed31380

1054020480 has 192 divisors, whose sum is σ = 3461557680. Its totient is φ = 272793600.

The previous prime is 1054020467. The next prime is 1054020493. The reversal of 1054020480 is 840204501.

It is an interprime number because it is at equal distance from previous prime (1054020467) and next prime (1054020493).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10540204802 = 2221918344518860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1054020480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2628280 + ... + 2628680.

Almost surely, 21054020480 is an apocalyptic number.

1054020480 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 1054020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730778840).

1054020480 is an abundant number, since it is smaller than the sum of its proper divisors (2407537200).

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

1054020480 is an equidigital number, since it uses as much as digits as its factorization.

1054020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1054020480 is about 32465.6815730088. The cubic root of 1054020480 is about 1017.6919747965.

Adding to 1054020480 its reverse (840204501), we get a palindrome (1894224981).

The spelling of 1054020480 in words is "one billion, fifty-four million, twenty thousand, four hundred eighty".