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104133780 = 223252919949
BaseRepresentation
bin1100011010011…
…11010010010100
321020221112200200
412031033102110
5203124240110
614155540500
72403060012
oct615172224
9236845620
10104133780
1153865283
122aa5a730
131876022a
14db898b2
15921e6c0
hex634f494

104133780 has 72 divisors (see below), whose sum is σ = 326781000. Its totient is φ = 26810112.

The previous prime is 104133779. The next prime is 104133781. The reversal of 104133780 is 87331401.

It is an interprime number because it is at equal distance from previous prime (104133779) and next prime (104133781).

It can be written as a sum of positive squares in 4 ways, for example, as 1192464 + 102941316 = 1092^2 + 10146^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104133781) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4755 + ... + 15194.

It is an arithmetic number, because the mean of its divisors is an integer number (4538625).

Almost surely, 2104133780 is an apocalyptic number.

104133780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104133780 is an abundant number, since it is smaller than the sum of its proper divisors (222647220).

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

104133780 is a wasteful number, since it uses less digits than its factorization.

104133780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19993 (or 19988 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 104133780 is about 10204.5960233612. The cubic root of 104133780 is about 470.4684931675.

The spelling of 104133780 in words is "one hundred four million, one hundred thirty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 19949 39898 59847 79796 99745 119694 179541 199490 239388 299235 359082 398980 578521 598470 718164 897705 1157042 1196940 1735563 1795410 2314084 2892605 3471126 3590820 5206689 5785210 6942252 8677815 10413378 11570420 17355630 20826756 26033445 34711260 52066890 104133780