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104052816 = 24337191811
BaseRepresentation
bin1100011001110…
…11100001010000
321020210102122000
412030323201100
5203114142231
614154114000
72402301660
oct614734120
9236712560
10104052816
115380a46a
122aa1b900
131873241a
14db681a0
1592056e6
hex633b850

104052816 has 160 divisors (see below), whose sum is σ = 359500800. Its totient is φ = 28149120.

The previous prime is 104052811. The next prime is 104052827. The reversal of 104052816 is 618250401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 104052816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104052811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56551 + ... + 58361.

It is an arithmetic number, because the mean of its divisors is an integer number (2246880).

Almost surely, 2104052816 is an apocalyptic number.

104052816 is a gapful number since it is divisible by the number (16) 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 104052816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179750400).

104052816 is an abundant number, since it is smaller than the sum of its proper divisors (255447984).

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

104052816 is a wasteful number, since it uses less digits than its factorization.

104052816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 104052816 is about 10200.6282159483. The cubic root of 104052816 is about 470.3465318236.

The spelling of 104052816 in words is "one hundred four million, fifty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 912 1008 1026 1064 1197 1368 1512 1596 1811 2052 2128 2394 2736 3024 3192 3591 3622 4104 4788 5433 6384 7182 7244 8208 9576 10866 12677 14364 14488 16299 19152 21732 25354 28728 28976 32598 34409 38031 43464 48897 50708 57456 65196 68818 76062 86928 97794 101416 103227 114093 130392 137636 152124 195588 202832 206454 228186 240863 260784 275272 304248 309681 342279 391176 412908 456372 481726 550544 608496 619362 684558 722589 782352 825816 912744 929043 963452 1238724 1369116 1445178 1651632 1825488 1858086 1926904 2167767 2477448 2738232 2890356 3716172 3853808 4335534 4954896 5476464 5780712 6503301 7432344 8671068 11561424 13006602 14864688 17342136 26013204 34684272 52026408 104052816