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16212064 = 251125379
BaseRepresentation
bin111101110110…
…000001100000
31010111122202211
4331312001200
513122241224
61335251504
7254541331
oct75660140
933448684
1016212064
119173400
125519b94
13348824b
142220288
151653894
hexf76060

16212064 has 72 divisors (see below), whose sum is σ = 36197280. Its totient is φ = 7138560.

The previous prime is 16212061. The next prime is 16212083. The reversal of 16212064 is 46021261.

16212064 = 2372 + 2382 + ... + 3952.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16212061) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 205177 + ... + 205255.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 216212064 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 16212064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18098640).

16212064 is an abundant number, since it is smaller than the sum of its proper divisors (19985216).

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

16212064 is a wasteful number, since it uses less digits than its factorization.

16212064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 16212064 is about 4026.4207430421. The cubic root of 16212064 is about 253.0925937074.

The spelling of 16212064 in words is "sixteen million, two hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 53 79 88 106 121 158 176 212 242 316 352 424 484 583 632 848 869 968 1166 1264 1696 1738 1936 2332 2528 3476 3872 4187 4664 6413 6952 8374 9328 9559 12826 13904 16748 18656 19118 25652 27808 33496 38236 46057 51304 66992 76472 92114 102608 133984 152944 184228 205216 305888 368456 506627 736912 1013254 1473824 2026508 4053016 8106032 16212064