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1023788106 = 233113474967
BaseRepresentation
bin111101000001011…
…100010001001010
32122100102211021000
4331001130101022
54044042204411
6245331155430
734241024655
oct7501342112
92570384230
101023788106
114859a1180
12246a45b76
131341488a3
1499d8089c
155ed2e956
hex3d05c44a

1023788106 has 64 divisors (see below), whose sum is σ = 2489564160. Its totient is φ = 309282480.

The previous prime is 1023788099. The next prime is 1023788107. The reversal of 1023788106 is 6018873201.

It is not an unprimeable number, because it can be changed into a prime (1023788107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203635 + ... + 208601.

It is an arithmetic number, because the mean of its divisors is an integer number (38899440).

Almost surely, 21023788106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023788106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244782080).

1023788106 is an abundant number, since it is smaller than the sum of its proper divisors (1465776054).

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

1023788106 is a wasteful number, since it uses less digits than its factorization.

1023788106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1023788106 is about 31996.6889849559. The cubic root of 1023788106 is about 1007.8673117577.

The spelling of 1023788106 in words is "one billion, twenty-three million, seven hundred eighty-eight thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 347 594 694 1041 2082 3123 3817 4967 6246 7634 9369 9934 11451 14901 18738 22902 29802 34353 44703 54637 68706 89406 103059 109274 134109 163911 206118 268218 327822 491733 983466 1475199 1723549 2950398 3447098 5170647 10341294 15511941 18959039 31023882 37918078 46535823 56877117 93071646 113754234 170631351 341262702 511894053 1023788106