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20699264 = 27237989
BaseRepresentation
bin100111011110…
…1100010000000
31102221122001102
41032331202000
520244334024
62015353532
7340640465
oct116754200
942848042
1020699264
1110758733
126b228a8
1343997b1
142a6b66c
151c3d1ae
hex13bd880

20699264 has 64 divisors (see below), whose sum is σ = 44064000. Its totient is φ = 9664512.

The previous prime is 20699233. The next prime is 20699279. The reversal of 20699264 is 46299602.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 232532 + ... + 232620.

It is an arithmetic number, because the mean of its divisors is an integer number (688500).

Almost surely, 220699264 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 20699264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22032000).

20699264 is an abundant number, since it is smaller than the sum of its proper divisors (23364736).

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

20699264 is an equidigital number, since it uses as much as digits as its factorization.

20699264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 20699264 is about 4549.6443817072. The cubic root of 20699264 is about 274.5690837985.

The spelling of 20699264 in words is "twenty million, six hundred ninety-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 79 89 92 128 158 178 184 316 356 368 632 712 736 1264 1424 1472 1817 2047 2528 2848 2944 3634 4094 5056 5696 7031 7268 8188 10112 11392 14062 14536 16376 28124 29072 32752 56248 58144 65504 112496 116288 131008 161713 224992 232576 262016 323426 449984 646852 899968 1293704 2587408 5174816 10349632 20699264