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104214528 = 2123211257
BaseRepresentation
bin1100011011000…
…11000000000000
321021002122110100
412031203000000
5203134331103
614201402400
72403544305
oct615430000
9237078410
10104214528
115390aa10
122aa99400
131878ac02
14dbab0ac
1592385a3
hex6363000

104214528 has 156 divisors (see below), whose sum is σ = 329671368. Its totient is φ = 31457280.

The previous prime is 104214521. The next prime is 104214577. The reversal of 104214528 is 825412401.

It is not an unprimeable number, because it can be changed into a prime (104214521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405376 + ... + 405632.

It is an arithmetic number, because the mean of its divisors is an integer number (2113278).

Almost surely, 2104214528 is an apocalyptic number.

104214528 is a gapful number since it is divisible by the number (18) 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 104214528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164835684).

104214528 is an abundant number, since it is smaller than the sum of its proper divisors (225456840).

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

104214528 is a wasteful number, since it uses less digits than its factorization.

104214528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 104214528 is about 10208.5517092289. The cubic root of 104214528 is about 470.5900661890.

Adding to 104214528 its reverse (825412401), we get a palindrome (929626929).

The spelling of 104214528 in words is "one hundred four million, two hundred fourteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 257 264 288 352 384 396 512 514 528 576 704 768 771 792 1024 1028 1056 1152 1408 1536 1542 1584 2048 2056 2112 2304 2313 2816 2827 3072 3084 3168 4096 4112 4224 4608 4626 5632 5654 6144 6168 6336 8224 8448 8481 9216 9252 11264 11308 12288 12336 12672 16448 16896 16962 18432 18504 22528 22616 24672 25344 25443 32896 33792 33924 36864 37008 45056 45232 49344 50688 50886 65792 67584 67848 74016 90464 98688 101376 101772 131584 135168 135696 148032 180928 197376 202752 203544 263168 271392 296064 361856 394752 405504 407088 526336 542784 592128 723712 789504 814176 1052672 1085568 1184256 1447424 1579008 1628352 2171136 2368512 2894848 3158016 3256704 4342272 4737024 5789696 6513408 8684544 9474048 11579392 13026816 17369088 26053632 34738176 52107264 104214528