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126786044 = 22711596977
BaseRepresentation
bin1111000111010…
…01100111111100
322211120101202102
413203221213330
5224424123134
620325244232
73066443420
oct743514774
9284511672
10126786044
1165627260
1236563678
1320361938
1412ba4b80
15b1e637e
hex78e99fc

126786044 has 48 divisors (see below), whose sum is σ = 281352960. Its totient is φ = 48552960.

The previous prime is 126786041. The next prime is 126786061. The reversal of 126786044 is 440687621.

It is a junction number, because it is equal to n+sod(n) for n = 126785989 and 126786007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126786041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14684 + ... + 21660.

It is an arithmetic number, because the mean of its divisors is an integer number (5861520).

Almost surely, 2126786044 is an apocalyptic number.

126786044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126786044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140676480).

126786044 is an abundant number, since it is smaller than the sum of its proper divisors (154566916).

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

126786044 is a wasteful number, since it uses less digits than its factorization.

126786044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7058 (or 7056 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 126786044 is about 11259.9309056495. The cubic root of 126786044 is about 502.3701391285.

The spelling of 126786044 in words is "one hundred twenty-six million, seven hundred eighty-six thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 59 77 118 154 236 308 413 649 826 1298 1652 2596 4543 6977 9086 13954 18172 27908 48839 76747 97678 153494 195356 306988 411643 537229 823286 1074458 1646572 2148916 2881501 4528073 5763002 9056146 11526004 18112292 31696511 63393022 126786044