Search a number
-
+
126690 = 23541103
BaseRepresentation
bin11110111011100010
320102210020
4132323202
513023230
62414310
71035234
oct367342
9212706
10126690
1187203
1261396
1345885
1434254
1527810
hex1eee2

126690 has 32 divisors (see below), whose sum is σ = 314496. Its totient is φ = 32640.

The previous prime is 126683. The next prime is 126691. The reversal of 126690 is 96621.

It is a super-2 number, since 2×1266902 = 32100712200, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 126690.

It is not an unprimeable number, because it can be changed into a prime (126691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1179 + ... + 1281.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2126690 is an apocalyptic number.

126690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248).

126690 is an abundant number, since it is smaller than the sum of its proper divisors (187806).

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

126690 is a wasteful number, since it uses less digits than its factorization.

126690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 126690 is about 355.9353873950. The cubic root of 126690 is about 50.2243253906.

The spelling of 126690 in words is "one hundred twenty-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 41 82 103 123 205 206 246 309 410 515 615 618 1030 1230 1545 3090 4223 8446 12669 21115 25338 42230 63345 126690