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23020704 = 2532719601
BaseRepresentation
bin101011111010…
…0010010100000
31121022120110200
41113310102200
521343130304
62141225200
7366446520
oct127642240
947276420
1023020704
1111aa3883
127862200
134a00325
1430b3680
15204ae39
hex15f44a0

23020704 has 144 divisors (see below), whose sum is σ = 78886080. Its totient is φ = 6220800.

The previous prime is 23020687. The next prime is 23020727. The reversal of 23020704 is 40702032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 38004 + ... + 38604.

It is an arithmetic number, because the mean of its divisors is an integer number (547820).

Almost surely, 223020704 is an apocalyptic number.

23020704 is a gapful number since it is divisible by the number (24) 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 23020704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39443040).

23020704 is an abundant number, since it is smaller than the sum of its proper divisors (55865376).

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

23020704 is a wasteful number, since it uses less digits than its factorization.

23020704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 23020704 is about 4797.9895789799. The cubic root of 23020704 is about 284.4720048888.

Adding to 23020704 its reverse (40702032), we get a palindrome (63722736).

The spelling of 23020704 in words is "twenty-three million, twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 601 608 672 684 798 912 1008 1064 1197 1202 1368 1596 1803 1824 2016 2128 2394 2404 2736 3192 3606 4207 4256 4788 4808 5409 5472 6384 7212 8414 9576 9616 10818 11419 12621 12768 14424 16828 19152 19232 21636 22838 25242 28848 33656 34257 37863 38304 43272 45676 50484 57696 67312 68514 75726 79933 86544 91352 100968 102771 134624 137028 151452 159866 173088 182704 201936 205542 239799 274056 302904 319732 365408 403872 411084 479598 548112 605808 639464 719397 822168 959196 1096224 1211616 1278928 1438794 1644336 1918392 2557856 2877588 3288672 3836784 5755176 7673568 11510352 23020704