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107720928 = 253571979
BaseRepresentation
bin1100110101110…
…11000011100000
321111200210100000
412122323003200
5210034032203
614404500000
72445420120
oct632730340
9244623300
10107720928
1155895367
12300aa600
1319417bc3
1410440c80
1596cc4a3
hex66bb0e0

107720928 has 144 divisors (see below), whose sum is σ = 363242880. Its totient is φ = 30761856.

The previous prime is 107720927. The next prime is 107720929. The reversal of 107720928 is 829027701.

It is an interprime number because it is at equal distance from previous prime (107720927) and next prime (107720929).

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 a junction number, because it is equal to n+sod(n) for n = 107720892 and 107720901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107720923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53443 + ... + 55421.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 2107720928 is an apocalyptic number.

107720928 is a gapful number since it is divisible by the number (18) 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 107720928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

107720928 is an abundant number, since it is smaller than the sum of its proper divisors (255521952).

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

107720928 is an equidigital number, since it uses as much as digits as its factorization.

107720928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 107720928 is about 10378.8693025782. The cubic root of 107720928 is about 475.8097773450.

The spelling of 107720928 in words is "one hundred seven million, seven hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 1979 2016 2268 2592 3024 3402 3888 3958 4536 5937 6048 6804 7776 7916 9072 11874 13608 13853 15832 17811 18144 23748 27216 27706 31664 35622 41559 47496 53433 54432 55412 63328 71244 83118 94992 106866 110824 124677 142488 160299 166236 189984 213732 221648 249354 284976 320598 332472 374031 427464 443296 480897 498708 569952 641196 664944 748062 854928 961794 997416 1122093 1282392 1329888 1496124 1709856 1923588 1994832 2244186 2564784 2992248 3366279 3847176 3989664 4488372 5129568 5984496 6732558 7694352 8976744 11968992 13465116 15388704 17953488 26930232 35906976 53860464 107720928