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126103348 = 227174361101
BaseRepresentation
bin1111000010000…
…10111100110100
322210021201021101
413201002330310
5224240301343
620302455444
73060601150
oct741027464
9283251241
10126103348
1165200348
1236294584
1320182c87
1412a68060
15b10de4d
hex7842f34

126103348 has 96 divisors (see below), whose sum is σ = 280482048. Its totient is φ = 48384000.

The previous prime is 126103343. The next prime is 126103349. The reversal of 126103348 is 843301621.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126103343) 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 31 ways as a sum of consecutive naturals, for example, 1248498 + ... + 1248598.

It is an arithmetic number, because the mean of its divisors is an integer number (2921688).

Almost surely, 2126103348 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 126103348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140241024).

126103348 is an abundant number, since it is smaller than the sum of its proper divisors (154378700).

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

126103348 is a wasteful number, since it uses less digits than its factorization.

126103348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 126103348 is about 11229.5747025433. The cubic root of 126103348 is about 501.4668233174.

Adding to 126103348 its reverse (843301621), we get a palindrome (969404969).

The spelling of 126103348 in words is "one hundred twenty-six million, one hundred three thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 34 43 61 68 86 101 119 122 172 202 238 244 301 404 427 476 602 707 731 854 1037 1204 1414 1462 1708 1717 2074 2623 2828 2924 3434 4148 4343 5117 5246 6161 6868 7259 8686 10234 10492 12019 12322 14518 17372 18361 20468 24038 24644 29036 30401 36722 43127 44591 48076 60802 73444 73831 86254 89182 104737 121604 147662 172508 178364 209474 264923 295324 312137 418948 516817 529846 624274 733159 1033634 1059692 1248548 1466318 1854461 2067268 2932636 3708922 4503691 7417844 9007382 18014764 31525837 63051674 126103348