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1054725984 = 253213416871
BaseRepresentation
bin111110110111011…
…101011101100000
32201111122122001100
4332313131131200
54130002212414
6252354234400
735065010604
oct7667353540
92644578040
101054725984
114a1402274
12255285a00
1313a68b720
14a0115504
15628e1609
hex3eddd760

1054725984 has 144 divisors (see below), whose sum is σ = 3309362784. Its totient is φ = 316569600.

The previous prime is 1054725979. The next prime is 1054726003. The reversal of 1054725984 is 4895274501.

1054725984 is a `hidden beast` number, since 1 + 0 + 54 + 7 + 2 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10547259842 = 2224893802649536512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150069 + ... + 156939.

It is an arithmetic number, because the mean of its divisors is an integer number (22981686).

Almost surely, 21054725984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054725984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654681392).

1054725984 is an abundant number, since it is smaller than the sum of its proper divisors (2254636800).

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

1054725984 is a wasteful number, since it uses less digits than its factorization.

1054725984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6941 (or 6930 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1054725984 is about 32476.5451364519. The cubic root of 1054725984 is about 1017.9189867122.

The spelling of 1054725984 in words is "one billion, fifty-four million, seven hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 41 48 52 72 78 82 96 104 117 123 144 156 164 208 234 246 288 312 328 369 416 468 492 533 624 656 738 936 984 1066 1248 1312 1476 1599 1872 1968 2132 2952 3198 3744 3936 4264 4797 5904 6396 6871 8528 9594 11808 12792 13742 17056 19188 20613 25584 27484 38376 41226 51168 54968 61839 76752 82452 89323 109936 123678 153504 164904 178646 219872 247356 267969 281711 329808 357292 494712 535938 563422 659616 714584 803907 845133 989424 1071876 1126844 1429168 1607814 1690266 1978848 2143752 2253688 2535399 2858336 3215628 3380532 3662243 4287504 4507376 5070798 6431256 6761064 7324486 8575008 9014752 10141596 10986729 12862512 13522128 14648972 20283192 21973458 25725024 27044256 29297944 32960187 40566384 43946916 58595888 65920374 81132768 87893832 117191776 131840748 175787664 263681496 351575328 527362992 1054725984