Search a number
-
+
1000054350 = 23552531553
BaseRepresentation
bin111011100110111…
…001111001001110
32120200210000200000
4323212321321032
54022003214400
6243122345130
733532215231
oct7346717116
92520700600
101000054350
114735606a9
1223aabb1a6
1312c258b49
1496b63418
155cbe2600
hex3b9b9e4e

1000054350 has 144 divisors (see below), whose sum is σ = 2840724432. Its totient is φ = 261480960.

The previous prime is 1000054333. The next prime is 1000054381. The reversal of 1000054350 is 534500001.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 643174 + ... + 644726.

It is an arithmetic number, because the mean of its divisors is an integer number (19727253).

Almost surely, 21000054350 is an apocalyptic number.

1000054350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000054350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420362216).

1000054350 is an abundant number, since it is smaller than the sum of its proper divisors (1840670082).

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

1000054350 is a wasteful number, since it uses less digits than its factorization.

1000054350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1000054350 is about 31623.6359389619. The cubic root of 1000054350 is about 1000.0181163385.

Adding to 1000054350 its reverse (534500001), we get a palindrome (1534554351).

The spelling of 1000054350 in words is "one billion, fifty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 53 54 75 81 90 106 135 150 159 162 225 243 265 270 318 405 450 477 486 530 675 795 810 954 1215 1325 1350 1431 1553 1590 2025 2385 2430 2650 2862 3106 3975 4050 4293 4659 4770 6075 7155 7765 7950 8586 9318 11925 12150 12879 13977 14310 15530 21465 23295 23850 25758 27954 35775 38825 41931 42930 46590 64395 69885 71550 77650 82309 83862 107325 116475 125793 128790 139770 164618 209655 214650 232950 246927 251586 321975 349425 377379 411545 419310 493854 628965 643950 698850 740781 754758 823090 1048275 1234635 1257930 1481562 1886895 2057725 2096550 2222343 2469270 3144825 3703905 3773790 4115450 4444686 6173175 6289650 6667029 7407810 9434475 11111715 12346350 13334058 18519525 18868950 20001087 22223430 33335145 37039050 40002174 55558575 66670290 100005435 111117150 166675725 200010870 333351450 500027175 1000054350