Search a number
-
+
666006624 = 2535412089
BaseRepresentation
bin100111101100100…
…111010001100000
31201102012122100000
4213230213101200
52330444202444
6150030500000
722334651163
oct4754472140
91642178300
10666006624
11311a416a8
12167064600
13a7c9987a
1464649ada
153d70a469
hex27b27460

666006624 has 144 divisors (see below), whose sum is σ = 2012970960. Its totient is φ = 216483840.

The previous prime is 666006589. The next prime is 666006631. The reversal of 666006624 is 426600666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317772 + ... + 319860.

It is an arithmetic number, because the mean of its divisors is an integer number (13978965).

Almost surely, 2666006624 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 666006624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006485480).

666006624 is an abundant number, since it is smaller than the sum of its proper divisors (1346964336).

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

666006624 is a wasteful number, since it uses less digits than its factorization.

666006624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 666006624 is about 25807.1041382019. The cubic root of 666006624 is about 873.2920693490.

It can be divided in two parts, 66600662 and 4, that added together give a palindrome (66600666).

The spelling of 666006624 in words is "six hundred sixty-six million, six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 81 82 96 108 123 144 162 164 216 243 246 288 324 328 369 432 486 492 648 656 738 864 972 984 1107 1296 1312 1476 1944 1968 2089 2214 2592 2952 3321 3888 3936 4178 4428 5904 6267 6642 7776 8356 8856 9963 11808 12534 13284 16712 17712 18801 19926 25068 26568 33424 35424 37602 39852 50136 53136 56403 66848 75204 79704 85649 100272 106272 112806 150408 159408 169209 171298 200544 225612 256947 300816 318816 338418 342596 451224 507627 513894 601632 676836 685192 770841 902448 1015254 1027788 1353672 1370384 1541682 1804896 2030508 2055576 2312523 2707344 2740768 3083364 4061016 4111152 4625046 5414688 6166728 6937569 8122032 8222304 9250092 12333456 13875138 16244064 18500184 20812707 24666912 27750276 37000368 41625414 55500552 74000736 83250828 111001104 166501656 222002208 333003312 666006624