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126000732 = 2231113101727
BaseRepresentation
bin1111000001010…
…01111001011100
322210002111111210
413200221321130
5224224010412
620300344420
73056663034
oct740517134
9283074453
10126000732
1165140240
1236245110
1320148360
1412a3c8c4
15b0dd83c
hex7829e5c

126000732 has 96 divisors (see below), whose sum is σ = 349300224. Its totient is φ = 34848000.

The previous prime is 126000731. The next prime is 126000751. The reversal of 126000732 is 237000621.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 126000699 and 126000708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126000731) 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, 172953 + ... + 173679.

It is an arithmetic number, because the mean of its divisors is an integer number (3638544).

Almost surely, 2126000732 is an apocalyptic number.

126000732 is a gapful number since it is divisible by the number (12) 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 126000732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174650112).

126000732 is an abundant number, since it is smaller than the sum of its proper divisors (223299492).

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

126000732 is a wasteful number, since it uses less digits than its factorization.

126000732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 126000732 is about 11225.0047661460. The cubic root of 126000732 is about 501.3307643237.

The spelling of 126000732 in words is "one hundred twenty-six million, seven hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 101 132 143 156 202 286 303 404 429 572 606 727 858 1111 1212 1313 1454 1716 2181 2222 2626 2908 3333 3939 4362 4444 5252 6666 7878 7997 8724 9451 13332 14443 15756 15994 18902 23991 28353 28886 31988 37804 43329 47982 56706 57772 73427 86658 95964 103961 113412 146854 173316 207922 220281 293708 311883 415844 440562 623766 807697 881124 954551 1247532 1615394 1909102 2423091 2863653 3230788 3818204 4846182 5727306 9692364 10500061 11454612 21000122 31500183 42000244 63000366 126000732