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104213312 = 267376287
BaseRepresentation
bin1100011011000…
…10101101000000
321021002120210022
412031202231000
5203134311222
614201353012
72403540620
oct615425500
9237076708
10104213312
115390a005
122aa98768
131878a4a8
14dbaa880
159238042
hex6362b40

104213312 has 56 divisors (see below), whose sum is σ = 242767104. Its totient is φ = 43448832.

The previous prime is 104213287. The next prime is 104213323. The reversal of 104213312 is 213312401.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13433 + ... + 19719.

Almost surely, 2104213312 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 104213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121383552).

104213312 is an abundant number, since it is smaller than the sum of its proper divisors (138553792).

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

104213312 is an equidigital number, since it uses as much as digits as its factorization.

104213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6343 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 104213312 is about 10208.4921511455. The cubic root of 104213312 is about 470.5882358627.

Adding to 104213312 its reverse (213312401), we get a palindrome (317525713).

The spelling of 104213312 in words is "one hundred four million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 148 224 259 296 448 518 592 1036 1184 2072 2368 4144 6287 8288 12574 16576 25148 44009 50296 88018 100592 176036 201184 232619 352072 402368 465238 704144 930476 1408288 1628333 1860952 2816576 3256666 3721904 6513332 7443808 13026664 14887616 26053328 52106656 104213312