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107889769 = 132172472
BaseRepresentation
bin1100110111001…
…00010001101001
321112000100221101
412123210101221
5210104433034
614412241401
72450022301
oct633442151
9245010841
10107889769
11559a01a9
1230170261
1319476a00
1410486601
159712514
hex66e4469

107889769 has 27 divisors (see below), whose sum is σ = 126800517. Its totient is φ = 91737984.

The previous prime is 107889751. The next prime is 107889787. The reversal of 107889769 is 967988701.

The square root of 107889769 is 10387.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (107889751) and next prime (107889787).

It can be written as a sum of positive squares in 4 ways, for example, as 974169 + 106915600 = 987^2 + 10340^2 .

It is a de Polignac number, because none of the positive numbers 2k-107889769 is a prime.

It is a super-2 number, since 2×1078897692 = 23280404509746722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107889739) 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 26 ways as a sum of consecutive naturals, for example, 2295504 + ... + 2295550.

Almost surely, 2107889769 is an apocalyptic number.

107889769 is the 10387-th square number.

107889769 is the 5194-th centered octagonal number.

It is an amenable number.

107889769 is a deficient number, since it is larger than the sum of its proper divisors (18910748).

107889769 is an equidigital number, since it uses as much as digits as its factorization.

107889769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 55.

The cubic root of 107889769 is about 476.0582411729.

The spelling of 107889769 in words is "one hundred seven million, eight hundred eighty-nine thousand, seven hundred sixty-nine".

Divisors: 1 13 17 47 169 221 289 611 799 2209 2873 3757 7943 10387 13583 28717 37553 48841 135031 176579 373321 488189 638401 2295527 6346457 8299213 107889769