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126326436 = 22329379811
BaseRepresentation
bin1111000011110…
…01011010100100
322210201001021220
413201321122210
5224314421221
620311340340
73062520435
oct741713244
9283631256
10126326436
1165342a15
12363816b0
1320230692
1412ac548c
15b1550c6
hex78796a4

126326436 has 48 divisors (see below), whose sum is σ = 313199040. Its totient is φ = 39553920.

The previous prime is 126326411. The next prime is 126326441. The reversal of 126326436 is 634623621.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 126326397 and 126326406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7971 + ... + 17781.

It is an arithmetic number, because the mean of its divisors is an integer number (6524980).

Almost surely, 2126326436 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 126326436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156599520).

126326436 is an abundant number, since it is smaller than the sum of its proper divisors (186872604).

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

126326436 is a wasteful number, since it uses less digits than its factorization.

126326436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9884 (or 9882 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 126326436 is about 11239.5033698113. The cubic root of 126326436 is about 501.7623621940.

The spelling of 126326436 in words is "one hundred twenty-six million, three hundred twenty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 29 37 58 74 87 111 116 148 174 222 348 444 1073 2146 3219 4292 6438 9811 12876 19622 29433 39244 58866 117732 284519 363007 569038 726014 853557 1089021 1138076 1452028 1707114 2178042 3414228 4356084 10527203 21054406 31581609 42108812 63163218 126326436