Search a number
-
+
666080352 = 253272911393
BaseRepresentation
bin100111101100111…
…001010001100000
31201102100101110200
4213230321101200
52331004032402
6150032225200
722335406140
oct4754712140
91642311420
10666080352
11311a92033
1216709b200
13a7cc42b2
1464668920
153d72221c
hex27b39460

666080352 has 144 divisors (see below), whose sum is σ = 2239604640. Its totient is φ = 183730176.

The previous prime is 666080347. The next prime is 666080357. The reversal of 666080352 is 253080666.

It is an interprime number because it is at equal distance from previous prime (666080347) and next prime (666080357).

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 not an unprimeable number, because it can be changed into a prime (666080357) 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, 52768 + ... + 64160.

It is an arithmetic number, because the mean of its divisors is an integer number (15552810).

Almost surely, 2666080352 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 666080352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119802320).

666080352 is an abundant number, since it is smaller than the sum of its proper divisors (1573524288).

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

666080352 is a wasteful number, since it uses less digits than its factorization.

666080352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11445 (or 11434 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 666080352 is about 25808.5325425527. The cubic root of 666080352 is about 873.3242931035.

The spelling of 666080352 in words is "six hundred sixty-six million, eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2436 2784 3248 3654 4176 4872 6496 7308 8352 9744 11393 14616 19488 22786 29232 34179 45572 58464 68358 79751 91144 102537 136716 159502 182288 205074 239253 273432 319004 330397 364576 410148 478506 546864 638008 660794 717759 820296 957012 991191 1093728 1276016 1321588 1435518 1640592 1914024 1982382 2312779 2552032 2643176 2871036 2973573 3281184 3828048 3964764 4625558 5286352 5742072 5947146 6938337 7656096 7929528 9251116 10572704 11484144 11894292 13876674 15859056 18502232 20815011 22968288 23788584 27753348 31718112 37004464 41630022 47577168 55506696 74008928 83260044 95154336 111013392 166520088 222026784 333040176 666080352