Search a number
-
+
126000045 = 3252800001
BaseRepresentation
bin1111000001010…
…01101110101101
322210002110120100
413200221232231
5224224000140
620300341313
73056661033
oct740515655
9283073510
10126000045
116513a776
1236244839
1320147c52
1412a3c553
15b0dd530
hex7829bad

126000045 has 12 divisors (see below), whose sum is σ = 218400156. Its totient is φ = 67200000.

The previous prime is 126000037. The next prime is 126000053. The reversal of 126000045 is 540000621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (126000037) and next prime (126000053).

It can be written as a sum of positive squares in 2 ways, for example, as 61261929 + 64738116 = 7827^2 + 8046^2 .

It is not a de Polignac number, because 126000045 - 23 = 126000037 is a prime.

It is a super-2 number, since 2×1260000452 = 31752022680004050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125999991 and 126000027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1399956 + ... + 1400045.

It is an arithmetic number, because the mean of its divisors is an integer number (18200013).

Almost surely, 2126000045 is an apocalyptic number.

126000045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126000045 is a deficient number, since it is larger than the sum of its proper divisors (92400111).

126000045 is a wasteful number, since it uses less digits than its factorization.

126000045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800012 (or 2800009 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 126000045 is about 11224.9741647810. The cubic root of 126000045 is about 501.3298531786.

Adding to 126000045 its reverse (540000621), we get a palindrome (666000666).

The spelling of 126000045 in words is "one hundred twenty-six million, forty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 45 2800001 8400003 14000005 25200009 42000015 126000045