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21031296 = 2731113383
BaseRepresentation
bin101000000111…
…0100110000000
31110120111111220
41100032212000
520341000141
62030435040
7343522506
oct120164600
943514456
1021031296
1110965140
127062a80
134484970
142b16676
151ca6766
hex140e980

21031296 has 128 divisors (see below), whose sum is σ = 65802240. Its totient is φ = 5867520.

The previous prime is 21031291. The next prime is 21031303. The reversal of 21031296 is 69213012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×210312962 = 884630822879232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21031291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54721 + ... + 55103.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 221031296 is an apocalyptic number.

21031296 is a gapful number since it is divisible by the number (26) 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 21031296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32901120).

21031296 is an abundant number, since it is smaller than the sum of its proper divisors (44770944).

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

21031296 is a wasteful number, since it uses less digits than its factorization.

21031296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 21031296 is about 4585.9890972395. The cubic root of 21031296 is about 276.0294024547.

The spelling of 21031296 in words is "twenty-one million, thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 383 384 416 429 528 572 624 704 766 832 858 1056 1144 1149 1248 1408 1532 1664 1716 2112 2288 2298 2496 3064 3432 4213 4224 4576 4596 4979 4992 6128 6864 8426 9152 9192 9958 12256 12639 13728 14937 16852 18304 18384 19916 24512 25278 27456 29874 33704 36768 39832 49024 50556 54769 54912 59748 67408 73536 79664 101112 109538 119496 134816 147072 159328 164307 202224 219076 238992 269632 318656 328614 404448 438152 477984 539264 637312 657228 808896 876304 955968 1314456 1617792 1752608 1911936 2628912 3505216 5257824 7010432 10515648 21031296