Search a number
-
+
104233780 = 22572314773
BaseRepresentation
bin1100011011001…
…11101100110100
321021010121212101
412031213230310
5203140440110
614202031444
72403654400
oct615475464
9237117771
10104233780
1153923422
122aaa8584
13187968c1
14dbb4100
15923e13a
hex6367b34

104233780 has 144 divisors (see below), whose sum is σ = 272111616. Its totient is φ = 33384960.

The previous prime is 104233777. The next prime is 104233781. The reversal of 104233780 is 87332401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104233781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1427824 + ... + 1427896.

It is an arithmetic number, because the mean of its divisors is an integer number (1889664).

Almost surely, 2104233780 is an apocalyptic number.

104233780 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 104233780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136055808).

104233780 is an abundant number, since it is smaller than the sum of its proper divisors (167877836).

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

104233780 is a wasteful number, since it uses less digits than its factorization.

104233780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 104233780 is about 10209.4946006156. The cubic root of 104233780 is about 470.6190424501.

The spelling of 104233780 in words is "one hundred four million, two hundred thirty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 47 49 62 70 73 94 98 124 140 146 155 188 196 217 235 245 292 310 329 365 434 470 490 511 620 658 730 868 940 980 1022 1085 1316 1457 1460 1519 1645 2044 2170 2263 2303 2555 2914 3038 3290 3431 3577 4340 4526 4606 5110 5828 6076 6580 6862 7154 7285 7595 9052 9212 10199 10220 11315 11515 13724 14308 14570 15190 15841 17155 17885 20398 22630 23030 24017 29140 30380 31682 34310 35770 40796 45260 46060 48034 50995 63364 68620 71393 71540 79205 96068 101990 106361 110887 120085 142786 158410 168119 203980 212722 221774 240170 285572 316820 336238 356965 425444 443548 480340 531805 554435 672476 713930 744527 840595 1063610 1108870 1427860 1489054 1681190 2127220 2217740 2978108 3362380 3722635 5211689 7445270 10423378 14890540 20846756 26058445 52116890 104233780