Search a number
-
+
126323064 = 233579283
BaseRepresentation
bin1111000011110…
…00100101111000
322210200212200000
413201320211320
5224314314224
620311313000
73062504550
oct741704570
9283625600
10126323064
116534042a
123637b760
132022bc9a
1412ac4160
15b1540c9
hex7878978

126323064 has 96 divisors (see below), whose sum is σ = 405525120. Its totient is φ = 36088416.

The previous prime is 126323063. The next prime is 126323089. The reversal of 126323064 is 460323621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126323063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8967 + ... + 18249.

It is an arithmetic number, because the mean of its divisors is an integer number (4224220).

Almost surely, 2126323064 is an apocalyptic number.

126323064 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 126323064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202762560).

126323064 is an abundant number, since it is smaller than the sum of its proper divisors (279202056).

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

126323064 is an equidigital number, since it uses as much as digits as its factorization.

126323064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9311 (or 9295 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 126323064 is about 11239.3533621824. The cubic root of 126323064 is about 501.7578976818.

Adding to 126323064 its reverse (460323621), we get a palindrome (586646685).

The spelling of 126323064 in words is "one hundred twenty-six million, three hundred twenty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4536 6804 9283 13608 18566 27849 37132 55698 64981 74264 83547 111396 129962 167094 194943 222792 250641 259924 334188 389886 501282 519848 584829 668376 751923 779772 1002564 1169658 1503846 1559544 1754487 2005128 2255769 2339316 3007692 3508974 4511538 4678632 5263461 6015384 7017948 9023076 10526922 14035896 15790383 18046152 21053844 31580766 42107688 63161532 126323064