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1054428480 = 263257193271
BaseRepresentation
bin111110110110010…
…100110101000000
32201111002111221200
4332312110311000
54124413202410
6252344021200
735062331340
oct7666246500
92644074850
101054428480
114a12197a6
12255161800
1313a5b61a1
14a0078d20
15628833c0
hex3ed94d40

1054428480 has 336 divisors, whose sum is σ = 4181758464. Its totient is φ = 238878720.

The previous prime is 1054428469. The next prime is 1054428521. The reversal of 1054428480 is 848244501.

1054428480 is a `hidden beast` number, since 10 + 544 + 28 + 4 + 80 = 666.

1054428480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10544284802 = 2223638838870220800, which contains 22 as substring.

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

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, 3890745 + ... + 3891015.

Almost surely, 21054428480 is an apocalyptic number.

1054428480 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 1054428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090879232).

1054428480 is an abundant number, since it is smaller than the sum of its proper divisors (3127329984).

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

1054428480 is a wasteful number, since it uses less digits than its factorization.

1054428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 1054428480 is about 32471.9645232622. The cubic root of 1054428480 is about 1017.8232703990.

The spelling of 1054428480 in words is "one billion, fifty-four million, four hundred twenty-eight thousand, four hundred eighty".