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669312 = 2732783
BaseRepresentation
bin10100011011010000000
31021000010100
42203122000
5132404222
622202400
75455230
oct2433200
91230110
10669312
11417956
12283400
131a5857
14135cc0
15d34ac
hexa3680

669312 has 96 divisors (see below), whose sum is σ = 2227680. Its totient is φ = 188928.

The previous prime is 669311. The next prime is 669329. The reversal of 669312 is 213966.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (669311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8023 + ... + 8105.

It is an arithmetic number, because the mean of its divisors is an integer number (23205).

2669312 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 669312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113840).

669312 is an abundant number, since it is smaller than the sum of its proper divisors (1558368).

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

669312 is a wasteful number, since it uses less digits than its factorization.

669312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 669312 is about 818.1149063548. The cubic root of 669312 is about 87.4734395575.

The spelling of 669312 in words is "six hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 83 84 96 112 126 128 144 166 168 192 224 249 252 288 332 336 384 448 498 504 576 581 664 672 747 896 996 1008 1152 1162 1328 1344 1494 1743 1992 2016 2324 2656 2688 2988 3486 3984 4032 4648 5229 5312 5976 6972 7968 8064 9296 10458 10624 11952 13944 15936 18592 20916 23904 27888 31872 37184 41832 47808 55776 74368 83664 95616 111552 167328 223104 334656 669312