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173085696 = 2103272683
BaseRepresentation
bin10100101000100…
…01010000000000
3110001200122221100
422110101100000
5323302220241
625101454400
74201130010
oct1224212000
9401618840
10173085696
118977a933
1249b71400
1329b22994
1418db7c40
15102de9b6
hexa511400

173085696 has 132 divisors (see below), whose sum is σ = 571391392. Its totient is φ = 49434624.

The previous prime is 173085673. The next prime is 173085709. The reversal of 173085696 is 696580371.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63171 + ... + 65853.

Almost surely, 2173085696 is an apocalyptic number.

173085696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 173085696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285695696).

173085696 is an abundant number, since it is smaller than the sum of its proper divisors (398305696).

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

173085696 is a wasteful number, since it uses less digits than its factorization.

173085696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 173085696 is about 13156.2037077570. The cubic root of 173085696 is about 557.2974547592.

The spelling of 173085696 in words is "one hundred seventy-three million, eighty-five thousand, six hundred ninety-six".

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 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2683 2688 3072 3584 4032 4608 5366 5376 7168 8049 8064 9216 10732 10752 16098 16128 18781 21464 21504 24147 32196 32256 37562 42928 48294 56343 64392 64512 75124 85856 96588 112686 128784 150248 169029 171712 193176 225372 257568 300496 338058 343424 386352 450744 515136 600992 676116 686848 772704 901488 1030272 1201984 1352232 1373696 1545408 1802976 2060544 2403968 2704464 2747392 3090816 3605952 4121088 4807936 5408928 6181632 7211904 8242176 9615872 10817856 12363264 14423808 19231744 21635712 24726528 28847616 43271424 57695232 86542848 173085696