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21129024 = 263779199
BaseRepresentation
bin101000010011…
…0011101000000
31110202110120110
41100212131000
520402112044
62032511320
7344410440
oct120463500
943673513
1021129024
1110a21604
1270ab540
1344ba2a7
142b40120
151cc56b9
hex1426740

21129024 has 112 divisors (see below), whose sum is σ = 65024000. Its totient is φ = 5930496.

The previous prime is 21128971. The next prime is 21129037. The reversal of 21129024 is 42092112.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106077 + ... + 106275.

Almost surely, 221129024 is an apocalyptic number.

21129024 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 21129024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32512000).

21129024 is an abundant number, since it is smaller than the sum of its proper divisors (43894976).

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

21129024 is a wasteful number, since it uses less digits than its factorization.

21129024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 21129024 is about 4596.6318103585. The cubic root of 21129024 is about 276.4562920665.

The spelling of 21129024 in words is "twenty-one million, one hundred twenty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 158 168 192 199 224 237 316 336 398 448 474 553 597 632 672 796 948 1106 1194 1264 1344 1393 1592 1659 1896 2212 2388 2528 2786 3184 3318 3792 4179 4424 4776 5056 5572 6368 6636 7584 8358 8848 9552 11144 12736 13272 15168 15721 16716 17696 19104 22288 26544 31442 33432 35392 38208 44576 47163 53088 62884 66864 89152 94326 106176 110047 125768 133728 188652 220094 251536 267456 330141 377304 440188 503072 660282 754608 880376 1006144 1320564 1509216 1760752 2641128 3018432 3521504 5282256 7043008 10564512 21129024