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21150432 = 25322331103
BaseRepresentation
bin101000010101…
…1101011100000
31110210112221100
41100223223200
520403303212
62033154400
7344530032
oct120535340
943715840
1021150432
1110a366a6
1270bba00
1344c6c64
142b47c52
151ccbbdc
hex142bae0

21150432 has 144 divisors (see below), whose sum is σ = 65415168. Its totient is φ = 6462720.

The previous prime is 21150407. The next prime is 21150443. The reversal of 21150432 is 23405112.

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

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 205293 + ... + 205395.

It is an arithmetic number, because the mean of its divisors is an integer number (454272).

Almost surely, 221150432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21150432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32707584).

21150432 is an abundant number, since it is smaller than the sum of its proper divisors (44264736).

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

21150432 is a wasteful number, since it uses less digits than its factorization.

21150432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 21150432 is about 4598.9598824082. The cubic root of 21150432 is about 276.5496293733.

Adding to 21150432 its reverse (23405112), we get a palindrome (44555544).

The spelling of 21150432 in words is "twenty-one million, one hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 31 32 36 46 48 62 69 72 92 93 96 103 124 138 144 184 186 206 207 248 276 279 288 309 368 372 412 414 496 552 558 618 713 736 744 824 828 927 992 1104 1116 1236 1426 1488 1648 1656 1854 2139 2208 2232 2369 2472 2852 2976 3193 3296 3312 3708 4278 4464 4738 4944 5704 6386 6417 6624 7107 7416 8556 8928 9476 9579 9888 11408 12772 12834 14214 14832 17112 18952 19158 21321 22816 25544 25668 28428 28737 29664 34224 37904 38316 42642 51088 51336 56856 57474 68448 73439 75808 76632 85284 102176 102672 113712 114948 146878 153264 170568 205344 220317 227424 229896 293756 306528 341136 440634 459792 587512 660951 682272 881268 919584 1175024 1321902 1762536 2350048 2643804 3525072 5287608 7050144 10575216 21150432