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126106050 = 23527831447
BaseRepresentation
bin1111000010000…
…11100111000010
322210021211222110
413201003213002
5224240343200
620302520150
73060612060
oct741034702
9283254873
10126106050
1165202384
1236296056
1320184285
1412a69030
15b10eb50
hex78439c2

126106050 has 96 divisors (see below), whose sum is σ = 361976832. Its totient is φ = 28457280.

The previous prime is 126106039. The next prime is 126106061. The reversal of 126106050 is 50601621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (126106039) and next prime (126106061).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86427 + ... + 87873.

It is an arithmetic number, because the mean of its divisors is an integer number (3770592).

Almost surely, 2126106050 is an apocalyptic number.

126106050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126106050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180988416).

126106050 is an abundant number, since it is smaller than the sum of its proper divisors (235870782).

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

126106050 is a wasteful number, since it uses less digits than its factorization.

126106050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 126106050 is about 11229.6950092155. The cubic root of 126106050 is about 501.4704049133.

Adding to 126106050 its reverse (50601621), we get a palindrome (176707671).

The spelling of 126106050 in words is "one hundred twenty-six million, one hundred six thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 83 105 150 166 175 210 249 350 415 498 525 581 830 1050 1162 1245 1447 1743 2075 2490 2894 2905 3486 4150 4341 5810 6225 7235 8682 8715 10129 12450 14470 14525 17430 20258 21705 29050 30387 36175 43410 43575 50645 60774 72350 87150 101290 108525 120101 151935 217050 240202 253225 303870 360303 506450 600505 720606 759675 840707 1201010 1519350 1681414 1801515 2522121 3002525 3603030 4203535 5044242 6005050 8407070 9007575 12610605 18015150 21017675 25221210 42035350 63053025 126106050