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1054737684 = 22327111329269
BaseRepresentation
bin111110110111100…
…000010100010100
32201111200020002200
4332313200110110
54130003101214
6252354404500
735065056660
oct7667402424
92644606080
101054737684
114a1410040
12255290730
1313a693b50
14a01198a0
15628e4d09
hex3ede0514

1054737684 has 144 divisors (see below), whose sum is σ = 3579838080. Its totient is φ = 252875520.

The previous prime is 1054737659. The next prime is 1054737757. The reversal of 1054737684 is 4867374501.

1054737684 is a `hidden beast` number, since 10 + 547 + 37 + 68 + 4 = 666.

1054737684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10547376842 = 2224943164099367712, which contains 22 as substring.

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, 21402 + ... + 50670.

Almost surely, 21054737684 is an apocalyptic number.

1054737684 is a gapful number since it is divisible by the number (14) 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 1054737684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789919040).

1054737684 is an abundant number, since it is smaller than the sum of its proper divisors (2525100396).

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

1054737684 is a wasteful number, since it uses less digits than its factorization.

1054737684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29310 (or 29305 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 1054737684 is about 32476.7252659501. The cubic root of 1054737684 is about 1017.9227505992.

The spelling of 1054737684 in words is "one billion, fifty-four million, seven hundred thirty-seven thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2772 3003 3276 4004 5148 6006 9009 12012 18018 29269 36036 58538 87807 117076 175614 204883 263421 321959 351228 380497 409766 526842 614649 643918 760994 819532 965877 1053684 1141491 1229298 1287836 1521988 1843947 1931754 2253713 2282982 2458596 2663479 2897631 3424473 3687894 3863508 4185467 4507426 4565964 5326958 5795262 6761139 6848946 7375788 7990437 8370934 9014852 10653916 11590524 12556401 13522278 13697892 15980874 16741868 20283417 23971311 25112802 27044556 29298269 31961748 37669203 40566834 47942622 50225604 58596538 75338406 81133668 87894807 95885244 117193076 150676812 175789614 263684421 351579228 527368842 1054737684