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104411780 = 2251137101127
BaseRepresentation
bin1100011100100…
…11001010000100
321021110200000222
412032103022010
5203212134110
614205523512
72405325344
oct616231204
9237420028
10104411780
1153a35130
122ab73598
1318829925
14dc1cd24
159276c55
hex6393284

104411780 has 96 divisors (see below), whose sum is σ = 250048512. Its totient is φ = 36288000.

The previous prime is 104411779. The next prime is 104411831. The reversal of 104411780 is 87114401.

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 31 ways as a sum of consecutive naturals, for example, 822077 + ... + 822203.

It is an arithmetic number, because the mean of its divisors is an integer number (2604672).

Almost surely, 2104411780 is an apocalyptic number.

104411780 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 104411780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125024256).

104411780 is an abundant number, since it is smaller than the sum of its proper divisors (145636732).

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

104411780 is a wasteful number, since it uses less digits than its factorization.

104411780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 104411780 is about 10218.2082578112. The cubic root of 104411780 is about 470.8867821085.

It can be divided in two parts, 10441 and 1780, that added together give a palindrome (12221).

The spelling of 104411780 in words is "one hundred four million, four hundred eleven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 101 110 127 148 185 202 220 254 370 404 407 505 508 635 740 814 1010 1111 1270 1397 1628 2020 2035 2222 2540 2794 3737 4070 4444 4699 5555 5588 6985 7474 8140 9398 11110 12827 13970 14948 18685 18796 22220 23495 25654 27940 37370 41107 46990 51308 51689 64135 74740 82214 93980 103378 128270 141097 164428 205535 206756 256540 258445 282194 411070 474599 516890 564388 705485 822140 949198 1033780 1410970 1898396 2372995 2821940 4745990 5220589 9491980 10441178 20882356 26102945 52205890 104411780