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21263088 = 2437112523
BaseRepresentation
bin101000100011…
…1001011110000
31111000021110210
41101013023300
520420404323
62035424120
7345506340
oct121071360
944007423
1021263088
1111003300
127155040
134536312
142b76d20
151d00293
hex14472f0

21263088 has 120 divisors (see below), whose sum is σ = 69134464. Its totient is φ = 5512320.

The previous prime is 21263083. The next prime is 21263089. The reversal of 21263088 is 88036212.

It is a super-2 number, since 2×212630882 = 904237822591488, which contains 22 as substring.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21263083) 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 23 ways as a sum of consecutive naturals, for example, 40395 + ... + 40917.

Almost surely, 221263088 is an apocalyptic number.

21263088 is a gapful number since it is divisible by the number (28) 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 21263088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34567232).

21263088 is an abundant number, since it is smaller than the sum of its proper divisors (47871376).

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

21263088 is a wasteful number, since it uses less digits than its factorization.

21263088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 21263088 is about 4611.1916030458. The cubic root of 21263088 is about 277.0397663023.

The spelling of 21263088 in words is "twenty-one million, two hundred sixty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 523 528 616 726 847 924 968 1046 1232 1452 1569 1694 1848 1936 2092 2541 2904 3138 3388 3661 3696 4184 5082 5753 5808 6276 6776 7322 8368 10164 10983 11506 12552 13552 14644 17259 20328 21966 23012 25104 29288 34518 40271 40656 43932 46024 58576 63283 69036 80542 87864 92048 120813 126566 138072 161084 175728 189849 241626 253132 276144 322168 379698 442981 483252 506264 644336 759396 885962 966504 1012528 1328943 1518792 1771924 1933008 2657886 3037584 3543848 5315772 7087696 10631544 21263088