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21061152 = 2532731337
BaseRepresentation
bin101000001010…
…1111000100000
31110122000110200
41100111320200
520342424102
62031225200
7344005530
oct120257040
943560420
1021061152
1110985612
127078200
134495428
142b234c0
151cb051c
hex1415e20

21061152 has 144 divisors (see below), whose sum is σ = 70866432. Its totient is φ = 5806080.

The previous prime is 21061129. The next prime is 21061153. The reversal of 21061152 is 25116012.

21061152 is a `hidden beast` number, since 2 + 1 + 0 + 611 + 52 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21061153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62328 + ... + 62664.

It is an arithmetic number, because the mean of its divisors is an integer number (492128).

Almost surely, 221061152 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 21061152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35433216).

21061152 is an abundant number, since it is smaller than the sum of its proper divisors (49805280).

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

21061152 is a wasteful number, since it uses less digits than its factorization.

21061152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 21061152 is about 4589.2430748436. The cubic root of 21061152 is about 276.1599576871.

Adding to 21061152 its reverse (25116012), we get a palindrome (46177164).

The spelling of 21061152 in words is "twenty-one million, sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 337 372 434 496 504 558 651 672 674 744 868 992 1008 1011 1116 1302 1348 1488 1736 1953 2016 2022 2232 2359 2604 2696 2976 3033 3472 3906 4044 4464 4718 5208 5392 6066 6944 7077 7812 8088 8928 9436 10416 10447 10784 12132 14154 15624 16176 18872 20832 20894 21231 24264 28308 31248 31341 32352 37744 41788 42462 48528 56616 62496 62682 73129 75488 83576 84924 94023 97056 113232 125364 146258 167152 169848 188046 219387 226464 250728 292516 334304 339696 376092 438774 501456 585032 658161 679392 752184 877548 1002912 1170064 1316322 1504368 1755096 2340128 2632644 3008736 3510192 5265288 7020384 10530576 21061152