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1054604016 = 24334495437
BaseRepresentation
bin111110110110111…
…111101011110000
32201111102102202000
4332312333223300
54124434312031
6252351454000
735063662164
oct7666775360
92644372660
101054604016
114a1329674
12255227300
1313a64805b
14a00c2ca4
15628ba3e6
hex3edbfaf0

1054604016 has 80 divisors (see below), whose sum is σ = 3034404000. Its totient is φ = 350687232.

The previous prime is 1054603999. The next prime is 1054604029. The reversal of 1054604016 is 6104064501.

1054604016 is a `hidden beast` number, since 1 + 0 + 54 + 604 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×10546040162 = 2224379261126656512, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 191250 + ... + 196686.

It is an arithmetic number, because the mean of its divisors is an integer number (37930050).

Almost surely, 21054604016 is an apocalyptic number.

1054604016 is a gapful number since it is divisible by the number (16) 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 1054604016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517202000).

1054604016 is an abundant number, since it is smaller than the sum of its proper divisors (1979799984).

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

1054604016 is a wasteful number, since it uses less digits than its factorization.

1054604016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5903 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1054604016 is about 32474.6672962172. The cubic root of 1054604016 is about 1017.8797479808.

Adding to 1054604016 its reverse (6104064501), we get a palindrome (7158668517).

The spelling of 1054604016 in words is "one billion, fifty-four million, six hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 449 898 1347 1796 2694 3592 4041 5388 5437 7184 8082 10776 10874 12123 16164 16311 21552 21748 24246 32328 32622 43496 48492 48933 64656 65244 86992 96984 97866 130488 146799 193968 195732 260976 293598 391464 587196 782928 1174392 2348784 2441213 4882426 7323639 9764852 14647278 19529704 21970917 29294556 39059408 43941834 58589112 65912751 87883668 117178224 131825502 175767336 263651004 351534672 527302008 1054604016