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126010052 = 227171913933
BaseRepresentation
bin1111000001011…
…00001011000100
322210002222021222
413200230023010
5224224310202
620300455512
73060032150
oct740541304
9283088258
10126010052
1165147243
123624a598
132014c67c
1412a42060
15b0e14a2
hex782c2c4

126010052 has 48 divisors (see below), whose sum is σ = 280909440. Its totient is φ = 48148992.

The previous prime is 126010043. The next prime is 126010061. The reversal of 126010052 is 250010621.

It is an interprime number because it is at equal distance from previous prime (126010043) and next prime (126010061).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 126010052.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2078 + ... + 16010.

It is an arithmetic number, because the mean of its divisors is an integer number (5852280).

Almost surely, 2126010052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126010052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140454720).

126010052 is an abundant number, since it is smaller than the sum of its proper divisors (154899388).

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

126010052 is a wasteful number, since it uses less digits than its factorization.

126010052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13980 (or 13978 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 126010052 is about 11225.4199030593. The cubic root of 126010052 is about 501.3431248009.

Adding to 126010052 its reverse (250010621), we get a palindrome (376020673).

The spelling of 126010052 in words is "one hundred twenty-six million, ten thousand, fifty-two".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 476 532 646 1292 2261 4522 9044 13933 27866 55732 97531 195062 236861 264727 390124 473722 529454 947444 1058908 1658027 1853089 3316054 3706178 4500359 6632108 7412356 9000718 18001436 31502513 63005026 126010052