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21364608 = 273234159
BaseRepresentation
bin101000101111…
…1111110000000
31111012102201210
41101133332000
520432131413
62041530120
7346411326
oct121377600
944172653
1021364608
1111072601
1271a3940
1345705a5
142ba1d16
151d203c3
hex145ff80

21364608 has 128 divisors (see below), whose sum is σ = 61689600. Its totient is φ = 6533120.

The previous prime is 21364601. The next prime is 21364627. The reversal of 21364608 is 80646312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21364601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362083 + ... + 362141.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 221364608 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 21364608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30844800).

21364608 is an abundant number, since it is smaller than the sum of its proper divisors (40324992).

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

21364608 is a wasteful number, since it uses less digits than its factorization.

21364608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 21364608 is about 4622.1864955884. The cubic root of 21364608 is about 277.4799725827.

The spelling of 21364608 in words is "twenty-one million, three hundred sixty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 41 46 48 59 64 69 82 92 96 118 123 128 138 164 177 184 192 236 246 276 328 354 368 384 472 492 552 656 708 736 943 944 984 1104 1312 1357 1416 1472 1886 1888 1968 2208 2419 2624 2714 2829 2832 2944 3772 3776 3936 4071 4416 4838 5248 5428 5658 5664 7257 7544 7552 7872 8142 8832 9676 10856 11316 11328 14514 15088 15744 16284 19352 21712 22632 22656 29028 30176 32568 38704 43424 45264 55637 58056 60352 65136 77408 86848 90528 111274 116112 120704 130272 154816 166911 173696 181056 222548 232224 260544 309632 333822 362112 445096 464448 521088 667644 890192 928896 1335288 1780384 2670576 3560768 5341152 7121536 10682304 21364608