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126652516 = 221723312
BaseRepresentation
bin1111000110010…
…01000001100100
322211022121120221
413203021001210
5224410340031
620322334124
73065346214
oct743110144
9284277527
10126652516
1165545a01
12364ba344
1320315c23
1412b6c244
15b1bba11
hex78c9064

126652516 has 27 divisors (see below), whose sum is σ = 236160057. Its totient is φ = 59421120.

The previous prime is 126652511. The next prime is 126652549. The reversal of 126652516 is 615256621.

The square root of 126652516 is 11254.

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

It can be written as a sum of positive squares in only one way, i.e., 98604900 + 28047616 = 9930^2 + 5296^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126652511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 382471 + ... + 382801.

Almost surely, 2126652516 is an apocalyptic number.

126652516 is the 11254-th square number.

It is an amenable number.

126652516 is a deficient number, since it is larger than the sum of its proper divisors (109507541).

126652516 is an equidigital number, since it uses as much as digits as its factorization.

126652516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 350 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The cubic root of 126652516 is about 502.1937158125.

The spelling of 126652516 in words is "one hundred twenty-six million, six hundred fifty-two thousand, five hundred sixteen".

Divisors: 1 2 4 17 34 68 289 331 578 662 1156 1324 5627 11254 22508 95659 109561 191318 219122 382636 438244 1862537 3725074 7450148 31663129 63326258 126652516