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126996 = 22319557
BaseRepresentation
bin11111000000010100
320110012120
4133000110
513030441
62415540
71036152
oct370024
9213176
10126996
1187461
12615b0
1345a5c
14343d2
1527966
hex1f014

126996 has 24 divisors (see below), whose sum is σ = 312480. Its totient is φ = 40032.

The previous prime is 126989. The next prime is 127031. The reversal of 126996 is 699621.

It is a happy number.

It is a super-2 number, since 2×1269962 = 32255968032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

126996 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51 + ... + 506.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2126996 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 126996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240).

126996 is an abundant number, since it is smaller than the sum of its proper divisors (185484).

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

126996 is a wasteful number, since it uses less digits than its factorization.

126996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 581 counting only the distinct ones).

The product of its digits is 5832, while the sum is 33.

The square root of 126996 is about 356.3649814446. The cubic root of 126996 is about 50.2647292284.

The spelling of 126996 in words is "one hundred twenty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 557 1114 1671 2228 3342 6684 10583 21166 31749 42332 63498 126996