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106940080 = 24513312107
BaseRepresentation
bin1100101111111…
…00011010110000
321110020010012201
412113330122300
5204334040310
614340032544
72435655442
oct627743260
9243203181
10106940080
1155401735
122b992754
1319203670
14102ba492
1595c5e3a
hex65fc6b0

106940080 has 120 divisors (see below), whose sum is σ = 279263376. Its totient is φ = 37854720.

The previous prime is 106940077. The next prime is 106940083. The reversal of 106940080 is 80049601.

It is an interprime number because it is at equal distance from previous prime (106940077) and next prime (106940083).

It is a super-2 number, since 2×1069400802 = 22872361420812800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106940083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999387 + ... + 999493.

Almost surely, 2106940080 is an apocalyptic number.

106940080 is a gapful number since it is divisible by the number (10) 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 106940080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139631688).

106940080 is an abundant number, since it is smaller than the sum of its proper divisors (172323296).

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

106940080 is a wasteful number, since it uses less digits than its factorization.

106940080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 106940080 is about 10341.1836846659. The cubic root of 106940080 is about 474.6573040628.

Adding to 106940080 its reverse (80049601), we get a palindrome (186989681).

The spelling of 106940080 in words is "one hundred six million, nine hundred forty thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 107 124 130 155 208 214 248 260 310 403 428 496 520 535 620 806 856 961 1040 1070 1240 1391 1612 1712 1922 2015 2140 2480 2782 3224 3317 3844 4030 4280 4805 5564 6448 6634 6955 7688 8060 8560 9610 11128 12493 13268 13910 15376 16120 16585 19220 22256 24986 26536 27820 32240 33170 38440 43121 49972 53072 55640 62465 66340 76880 86242 99944 102827 111280 124930 132680 172484 199888 205654 215605 249860 265360 344968 411308 431210 499720 514135 689936 822616 862420 999440 1028270 1336751 1645232 1724840 2056540 2673502 3449680 4113080 5347004 6683755 8226160 10694008 13367510 21388016 26735020 53470040 106940080