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104826080 = 2551722267
BaseRepresentation
bin1100011111110…
…00010011100000
321022020201100102
412033320103200
5203313413310
614222441532
72412002252
oct617702340
9238221312
10104826080
1154198427
122b1332a8
1318943388
14dcc9cd2
1593098a5
hex63f84e0

104826080 has 72 divisors (see below), whose sum is σ = 263192328. Its totient is φ = 39446528.

The previous prime is 104826079. The next prime is 104826091. The reversal of 104826080 is 80628401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45107 + ... + 47373.

It is an arithmetic number, because the mean of its divisors is an integer number (3655449).

Almost surely, 2104826080 is an apocalyptic number.

104826080 is a gapful number since it is divisible by the number (10) 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 104826080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131596164).

104826080 is an abundant number, since it is smaller than the sum of its proper divisors (158366248).

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

104826080 is a wasteful number, since it uses less digits than its factorization.

104826080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 104826080 is about 10238.4608218228. The cubic root of 104826080 is about 471.5087774681.

The spelling of 104826080 in words is "one hundred four million, eight hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 289 340 544 578 680 1156 1360 1445 2267 2312 2720 2890 4534 4624 5780 9068 9248 11335 11560 18136 22670 23120 36272 38539 45340 46240 72544 77078 90680 154156 181360 192695 308312 362720 385390 616624 655163 770780 1233248 1310326 1541560 2620652 3083120 3275815 5241304 6166240 6551630 10482608 13103260 20965216 26206520 52413040 104826080