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126434022 = 2311131011459
BaseRepresentation
bin1111000100100…
…11101011100110
322210220111212120
413202103223212
5224331342042
620313530410
73063446211
oct742235346
9283814776
10126434022
1165406830
1236413a06
132026a640
1412b12778
15b176dec
hex7893ae6

126434022 has 64 divisors (see below), whose sum is σ = 300222720. Its totient is φ = 34992000.

The previous prime is 126434017. The next prime is 126434051. The reversal of 126434022 is 220434621.

It is a junction number, because it is equal to n+sod(n) for n = 126433983 and 126434001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85929 + ... + 87387.

It is an arithmetic number, because the mean of its divisors is an integer number (4690980).

Almost surely, 2126434022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126434022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150111360).

126434022 is an abundant number, since it is smaller than the sum of its proper divisors (173788698).

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

126434022 is a wasteful number, since it uses less digits than its factorization.

126434022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 126434022 is about 11244.2884167919. The cubic root of 126434022 is about 501.9047638682.

Adding to 126434022 its reverse (220434621), we get a palindrome (346868643).

The spelling of 126434022 in words is "one hundred twenty-six million, four hundred thirty-four thousand, twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 101 143 202 286 303 429 606 858 1111 1313 1459 2222 2626 2918 3333 3939 4377 6666 7878 8754 14443 16049 18967 28886 32098 37934 43329 48147 56901 86658 96294 113802 147359 208637 294718 417274 442077 625911 884154 1251822 1620949 1915667 3241898 3831334 4862847 5747001 9725694 11494002 21072337 42144674 63217011 126434022