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107003052 = 22331376213
BaseRepresentation
bin1100110000010…
…11110010101100
321110100022121000
412120023302230
5204343044202
614341240300
72436340152
oct630136254
9243308530
10107003052
1155444a82
122ba03090
1319226220
14102d53d2
1595d991c
hex660bcac

107003052 has 48 divisors (see below), whose sum is σ = 298758880. Its totient is φ = 32923584.

The previous prime is 107003047. The next prime is 107003059. The reversal of 107003052 is 250300701.

It is a super-2 number, since 2×1070030522 = 22899306274629408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (107003059) 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 15 ways as a sum of consecutive naturals, for example, 36703 + ... + 39510.

Almost surely, 2107003052 is an apocalyptic number.

107003052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107003052 is an abundant number, since it is smaller than the sum of its proper divisors (191755828).

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

107003052 is a wasteful number, since it uses less digits than its factorization.

107003052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76239 (or 76231 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 107003052 is about 10344.2279557249. The cubic root of 107003052 is about 474.7504535933.

Adding to 107003052 its reverse (250300701), we get a palindrome (357303753).

The spelling of 107003052 in words is "one hundred seven million, three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 76213 152426 228639 304852 457278 685917 914556 990769 1371834 1981538 2057751 2743668 2972307 3963076 4115502 5944614 8231004 8916921 11889228 17833842 26750763 35667684 53501526 107003052