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103686912 = 283372143
BaseRepresentation
bin1100010111000…
…10001100000000
321020002211201000
412023202030000
5203020440122
614142212000
72366216130
oct613421400
9236084630
10103686912
115358a56a
122a884000
1318634a04
14dab0ac0
1591820ac
hex62e2300

103686912 has 144 divisors (see below), whose sum is σ = 350586880. Its totient is φ = 29611008.

The previous prime is 103686887. The next prime is 103686929. The reversal of 103686912 is 219686301.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47313 + ... + 49455.

Almost surely, 2103686912 is an apocalyptic number.

103686912 is a gapful number since it is divisible by the number (12) 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 103686912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175293440).

103686912 is an abundant number, since it is smaller than the sum of its proper divisors (246899968).

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

103686912 is an equidigital number, since it uses as much as digits as its factorization.

103686912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 103686912 is about 10182.6770546846. The cubic root of 103686912 is about 469.7945563553.

The spelling of 103686912 in words is "one hundred three million, six hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2143 2304 2688 3024 3456 4032 4286 5376 6048 6429 6912 8064 8572 12096 12858 15001 16128 17144 19287 24192 25716 30002 34288 38574 45003 48384 51432 57861 60004 68576 77148 90006 102864 115722 120008 135009 137152 154296 180012 205728 231444 240016 270018 274304 308592 360024 405027 411456 462888 480032 540036 548608 617184 720048 810054 822912 925776 960064 1080072 1234368 1440096 1620108 1645824 1851552 1920128 2160144 2468736 2880192 3240216 3703104 3840256 4320288 4937472 5760384 6480432 7406208 8640576 11520768 12960864 14812416 17281152 25921728 34562304 51843456 103686912