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104122304 = 26111331367
BaseRepresentation
bin1100011010011…
…00011111000000
321020220221221122
412031030133000
5203123403204
614155411412
72403011366
oct615143700
9236827848
10104122304
11538576a0
122aa53b68
1318757c40
14db85636
15921b0be
hex634c7c0

104122304 has 112 divisors (see below), whose sum is σ = 251252736. Its totient is φ = 42163200.

The previous prime is 104122289. The next prime is 104122321. The reversal of 104122304 is 403221401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283529 + ... + 283895.

It is an arithmetic number, because the mean of its divisors is an integer number (2243328).

Almost surely, 2104122304 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 104122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125626368).

104122304 is an abundant number, since it is smaller than the sum of its proper divisors (147130432).

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

104122304 is a wasteful number, since it uses less digits than its factorization.

104122304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 104122304 is about 10204.0337122140. The cubic root of 104122304 is about 470.4512099677.

Adding to 104122304 its reverse (403221401), we get a palindrome (507343705).

The spelling of 104122304 in words is "one hundred four million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 44 52 62 64 88 104 124 143 176 208 248 286 341 352 367 403 416 496 572 682 704 734 806 832 992 1144 1364 1468 1612 1984 2288 2728 2936 3224 4037 4433 4576 4771 5456 5872 6448 8074 8866 9152 9542 10912 11377 11744 12896 16148 17732 19084 21824 22754 23488 25792 32296 35464 38168 45508 52481 64592 70928 76336 91016 104962 125147 129184 141856 147901 152672 182032 209924 250294 258368 283712 295802 305344 364064 419848 500588 591604 728128 839696 1001176 1183208 1626911 1679392 2002352 2366416 3253822 3358784 4004704 4732832 6507644 8009408 9465664 13015288 26030576 52061152 104122304