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23053464 = 2333779193
BaseRepresentation
bin101011111110…
…0010010011000
31121101020102000
41113330102120
521400202324
62142041000
7366644160
oct127742230
947336360
1023053464
1112016455
127879160
134a12205
1430c15a0
1520559c9
hex15fc498

23053464 has 128 divisors (see below), whose sum is σ = 74496000. Its totient is φ = 6469632.

The previous prime is 23053423. The next prime is 23053493. The reversal of 23053464 is 46435032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 119352 + ... + 119544.

It is an arithmetic number, because the mean of its divisors is an integer number (582000).

Almost surely, 223053464 is an apocalyptic number.

23053464 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 23053464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37248000).

23053464 is an abundant number, since it is smaller than the sum of its proper divisors (51442536).

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

23053464 is a wasteful number, since it uses less digits than its factorization.

23053464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 23053464 is about 4801.4022951634. The cubic root of 23053464 is about 284.6068818197.

Adding to 23053464 its reverse (46435032), we get a palindrome (69488496).

The spelling of 23053464 in words is "twenty-three million, fifty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 79 84 108 126 158 168 189 193 216 237 252 316 378 386 474 504 553 579 632 711 756 772 948 1106 1158 1351 1422 1512 1544 1659 1737 1896 2133 2212 2316 2702 2844 3318 3474 4053 4266 4424 4632 4977 5211 5404 5688 6636 6948 8106 8532 9954 10422 10808 12159 13272 13896 14931 15247 16212 17064 19908 20844 24318 29862 30494 32424 36477 39816 41688 45741 48636 59724 60988 72954 91482 97272 106729 119448 121976 137223 145908 182964 213458 274446 291816 320187 365928 411669 426916 548892 640374 823338 853832 960561 1097784 1280748 1646676 1921122 2561496 2881683 3293352 3842244 5763366 7684488 11526732 23053464