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23041032 = 2337236789
BaseRepresentation
bin101011111100…
…1010000001000
31121100121100120
41113321100020
521344303112
62141503240
7366563010
oct127712010
947317316
1023041032
1112008083
127871b20
134a09661
1430bac40
152051e8c
hex15f9408

23041032 has 128 divisors (see below), whose sum is σ = 70502400. Its totient is φ = 6133248.

The previous prime is 23041021. The next prime is 23041033. The reversal of 23041032 is 23014032.

It is not an unprimeable number, because it can be changed into a prime (23041033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258844 + ... + 258932.

It is an arithmetic number, because the mean of its divisors is an integer number (550800).

Almost surely, 223041032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23041032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35251200).

23041032 is an abundant number, since it is smaller than the sum of its proper divisors (47461368).

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

23041032 is a wasteful number, since it uses less digits than its factorization.

23041032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 23041032 is about 4800.1074987963. The cubic root of 23041032 is about 284.5557128072. Note that the first 3 decimals are identical.

Adding to 23041032 its reverse (23014032), we get a palindrome (46055064).

Subtracting from 23041032 its reverse (23014032), we obtain a cube (27000 = 303).

The spelling of 23041032 in words is "twenty-three million, forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 67 69 84 89 92 134 138 161 168 178 184 201 267 268 276 322 356 402 469 483 534 536 552 623 644 712 804 938 966 1068 1246 1288 1407 1541 1608 1869 1876 1932 2047 2136 2492 2814 3082 3738 3752 3864 4094 4623 4984 5628 5963 6141 6164 7476 8188 9246 10787 11256 11926 12282 12328 14329 14952 16376 17889 18492 21574 23852 24564 28658 32361 35778 36984 41741 42987 43148 47704 49128 57316 64722 71556 83482 85974 86296 114632 125223 129444 137149 143112 166964 171948 250446 258888 274298 333928 343896 411447 500892 548596 822894 960043 1001784 1097192 1645788 1920086 2880129 3291576 3840172 5760258 7680344 11520516 23041032