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104836080 = 24351912287
BaseRepresentation
bin1100011111110…
…10101111110000
321022021020001210
412033322233300
5203314223310
614223000120
72412043356
oct617725760
9238236053
10104836080
11541a4998
122b139040
1318947aab
14dccd7d6
15930c820
hex63fabf0

104836080 has 80 divisors (see below), whose sum is σ = 326836224. Its totient is φ = 27797760.

The previous prime is 104836063. The next prime is 104836159. The reversal of 104836080 is 80638401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44697 + ... + 46983.

Almost surely, 2104836080 is an apocalyptic number.

104836080 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 104836080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163418112).

104836080 is an abundant number, since it is smaller than the sum of its proper divisors (222000144).

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

104836080 is a wasteful number, since it uses less digits than its factorization.

104836080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 104836080 is about 10238.9491648313. The cubic root of 104836080 is about 471.5237703587.

It can be divided in two parts, 1048 and 36080, that added together give a triangular number (37128 = T272).

The spelling of 104836080 in words is "one hundred four million, eight hundred thirty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 191 240 382 573 764 955 1146 1528 1910 2287 2292 2865 3056 3820 4574 4584 5730 6861 7640 9148 9168 11435 11460 13722 15280 18296 22870 22920 27444 34305 36592 45740 45840 54888 68610 91480 109776 137220 182960 274440 436817 548880 873634 1310451 1747268 2184085 2620902 3494536 4368170 5241804 6552255 6989072 8736340 10483608 13104510 17472680 20967216 26209020 34945360 52418040 104836080