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106231280 = 24519471487
BaseRepresentation
bin1100101010011…
…11010111110000
321101220002220212
412111033113300
5204143400110
614312523252
72426644121
oct625172760
9241802825
10106231280
1154a68151
122b6b0528
1319015b5c
1410174048
1594d5e05
hex654f5f0

106231280 has 80 divisors (see below), whose sum is σ = 265697280. Its totient is φ = 39373056.

The previous prime is 106231277. The next prime is 106231289. The reversal of 106231280 is 82132601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1062312802 = 22570169700876800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106231289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70697 + ... + 72183.

It is an arithmetic number, because the mean of its divisors is an integer number (3321216).

Almost surely, 2106231280 is an apocalyptic number.

106231280 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 106231280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132848640).

106231280 is an abundant number, since it is smaller than the sum of its proper divisors (159466000).

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

106231280 is a wasteful number, since it uses less digits than its factorization.

106231280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 106231280 is about 10306.8559706634. The cubic root of 106231280 is about 473.6063007060.

Adding to 106231280 its reverse (82132601), we get a palindrome (188363881).

The spelling of 106231280 in words is "one hundred six million, two hundred thirty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 47 76 80 94 95 152 188 190 235 304 376 380 470 752 760 893 940 1487 1520 1786 1880 2974 3572 3760 4465 5948 7144 7435 8930 11896 14288 14870 17860 23792 28253 29740 35720 56506 59480 69889 71440 113012 118960 139778 141265 226024 279556 282530 349445 452048 559112 565060 698890 1118224 1130120 1327891 1397780 2260240 2655782 2795560 5311564 5591120 6639455 10623128 13278910 21246256 26557820 53115640 106231280