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1023300054 = 23473972273
BaseRepresentation
bin111100111111100…
…101000111010110
32122022112000210000
4330333211013112
54043431100204
6245312512130
734233623040
oct7477450726
92568460700
101023300054
11485698527
1224684b646
131340076ba
1499c94a90
155ec85039
hex3cfe51d6

1023300054 has 80 divisors (see below), whose sum is σ = 2628271008. Its totient is φ = 291506688.

The previous prime is 1023300041. The next prime is 1023300059. The reversal of 1023300054 is 4500033201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023300059) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 449062 + ... + 451334.

Almost surely, 21023300054 is an apocalyptic number.

1023300054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023300054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314135504).

1023300054 is an abundant number, since it is smaller than the sum of its proper divisors (1604970954).

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

1023300054 is a wasteful number, since it uses less digits than its factorization.

1023300054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1023300054 is about 31989.0614741977. The cubic root of 1023300054 is about 1007.7071321793.

Adding to 1023300054 its reverse (4500033201), we get a palindrome (5523333255).

The spelling of 1023300054 in words is "one billion, twenty-three million, three hundred thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 397 567 794 1134 1191 2273 2382 2779 3573 4546 5558 6819 7146 8337 10719 13638 15911 16674 20457 21438 25011 31822 32157 40914 47733 50022 61371 64314 75033 95466 122742 143199 150066 184113 225099 286398 368226 429597 450198 859194 902381 1288791 1804762 2577582 2707143 5414286 6316667 8121429 12633334 16242858 18950001 24364287 37900002 48728574 56850003 73092861 113700006 146185722 170550009 341100018 511650027 1023300054