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126984 = 233111337
BaseRepresentation
bin11111000000001000
320110012010
4133000020
513030414
62415520
71036134
oct370010
9213163
10126984
1187450
12615a0
1345a50
14343c4
1527959
hex1f008

126984 has 64 divisors (see below), whose sum is σ = 383040. Its totient is φ = 34560.

The previous prime is 126967. The next prime is 126989. The reversal of 126984 is 489621.

Added to its reverse (489621) it gives a triangular number (616605 = T1110).

It is a super-2 number, since 2×1269842 = 32249872512, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 126984.

It is not an unprimeable number, because it can be changed into a prime (126989) by changing a digit.

126984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3414 + ... + 3450.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2126984 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 126984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191520).

126984 is an abundant number, since it is smaller than the sum of its proper divisors (256056).

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

126984 is a wasteful number, since it uses less digits than its factorization.

126984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 66 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 126984 is about 356.3481443757. The cubic root of 126984 is about 50.2631459876.

Adding to 126984 its reverse (489621), we get a triangular number (616605 = T1110).

It can be divided in two parts, 12 and 6984, that added together give a palindrome (6996).

The spelling of 126984 in words is "one hundred twenty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 37 39 44 52 66 74 78 88 104 111 132 143 148 156 222 264 286 296 312 407 429 444 481 572 814 858 888 962 1144 1221 1443 1628 1716 1924 2442 2886 3256 3432 3848 4884 5291 5772 9768 10582 11544 15873 21164 31746 42328 63492 126984