Search a number
-
+
104146200 = 23325257859
BaseRepresentation
bin1100011010100…
…10010100011000
321020222011201200
412031102110120
5203130134300
614200114200
72403141144
oct615222430
9236864650
10104146200
1153873644
122aa65960
1318765a92
14db90224
159223200
hex6352518

104146200 has 72 divisors (see below), whose sum is σ = 349763700. Its totient is φ = 27771840.

The previous prime is 104146177. The next prime is 104146213. The reversal of 104146200 is 2641401.

104146200 is a `hidden beast` number, since 1 + 0 + 41 + 4 + 620 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 27130 + ... + 30729.

Almost surely, 2104146200 is an apocalyptic number.

104146200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104146200 is an abundant number, since it is smaller than the sum of its proper divisors (245617500).

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

104146200 is a wasteful number, since it uses less digits than its factorization.

104146200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57881 (or 57869 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 104146200 is about 10205.2045545398. The cubic root of 104146200 is about 470.4871966289.

Adding to 104146200 its reverse (2641401), we get a palindrome (106787601).

The spelling of 104146200 in words is "one hundred four million, one hundred forty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 57859 115718 173577 231436 289295 347154 462872 520731 578590 694308 867885 1041462 1157180 1388616 1446475 1735770 2082924 2314360 2603655 2892950 3471540 4165848 4339425 5207310 5785900 6943080 8678850 10414620 11571800 13018275 17357700 20829240 26036550 34715400 52073100 104146200