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216607104 = 2732726861
BaseRepresentation
bin11001110100100…
…10100110000000
3120002120210002100
430322102212000
5420422411404
633254350400
75240062410
oct1472224600
9502523070
10216607104
111012a613a
126065b400
1335b502ac
1420aa6640
1514039d39
hexce92980

216607104 has 96 divisors (see below), whose sum is σ = 712380240. Its totient is φ = 61885440.

The previous prime is 216607103. The next prime is 216607121. The reversal of 216607104 is 401706612.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216607103) 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, 5367 + ... + 21494.

Almost surely, 2216607104 is an apocalyptic number.

216607104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216607104 is an abundant number, since it is smaller than the sum of its proper divisors (495773136).

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

216607104 is a wasteful number, since it uses less digits than its factorization.

216607104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26888 (or 26873 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 216607104 is about 14717.5780616241. The cubic root of 216607104 is about 600.5616074977.

The spelling of 216607104 in words is "two hundred sixteen million, six hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 26861 53722 80583 107444 161166 188027 214888 241749 322332 376054 429776 483498 564081 644664 752108 859552 966996 1128162 1289328 1504216 1692243 1719104 1933992 2256324 2578656 3008432 3384486 3438208 3867984 4512648 5157312 6016864 6768972 7735968 9025296 10314624 12033728 13537944 15471936 18050592 24067456 27075888 30943872 36101184 54151776 72202368 108303552 216607104