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126046074 = 237111092503
BaseRepresentation
bin1111000001101…
…00111101111010
322210011210201010
413200310331322
5224231433244
620301334350
73060242160
oct740647572
9283153633
10126046074
1165171310
12362673b6
1320162b9b
1412a51230
15b0ebeb9
hex7834f7a

126046074 has 64 divisors (see below), whose sum is σ = 317306880. Its totient is φ = 32425920.

The previous prime is 126046073. The next prime is 126046079. The reversal of 126046074 is 470640621.

It is a super-2 number, since 2×1260460742 = 31775225541626952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126046073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49107 + ... + 51609.

It is an arithmetic number, because the mean of its divisors is an integer number (4957920).

Almost surely, 2126046074 is an apocalyptic number.

126046074 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126046074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158653440).

126046074 is an abundant number, since it is smaller than the sum of its proper divisors (191260806).

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

126046074 is a wasteful number, since it uses less digits than its factorization.

126046074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 126046074 is about 11227.0242718184. The cubic root of 126046074 is about 501.3908925813.

Adding to 126046074 its reverse (470640621), we get a palindrome (596686695).

The spelling of 126046074 in words is "one hundred twenty-six million, forty-six thousand, seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 109 154 218 231 327 462 654 763 1199 1526 2289 2398 2503 3597 4578 5006 7194 7509 8393 15018 16786 17521 25179 27533 35042 50358 52563 55066 82599 105126 165198 192731 272827 385462 545654 578193 818481 1156386 1636962 1909789 3001097 3819578 5729367 6002194 9003291 11458734 18006582 21007679 42015358 63023037 126046074