Search a number
-
+
104362020 = 2234579203
BaseRepresentation
bin1100011100001…
…11000000100100
321021101010210000
412032013000210
5203204041040
614204501300
72405030310
oct616070044
9237333700
10104362020
1153a00804
122ab4a830
1318810099
14dc08b40
159267130
hex6387024

104362020 has 120 divisors (see below), whose sum is σ = 374197824. Its totient is φ = 23851584.

The previous prime is 104362007. The next prime is 104362021. The reversal of 104362020 is 20263401.

It is a happy number.

104362020 is a `hidden beast` number, since 1 + 0 + 43 + 620 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 104361984 and 104362002.

It is not an unprimeable number, because it can be changed into a prime (104362021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6739 + ... + 15941.

Almost surely, 2104362020 is an apocalyptic number.

104362020 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 104362020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187098912).

104362020 is an abundant number, since it is smaller than the sum of its proper divisors (269835804).

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

104362020 is a wasteful number, since it uses less digits than its factorization.

104362020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9231 (or 9220 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 104362020 is about 10215.7730984982. The cubic root of 104362020 is about 470.8119659989.

The spelling of 104362020 in words is "one hundred four million, three hundred sixty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 9203 11340 18406 27609 36812 46015 55218 64421 82827 92030 110436 128842 138045 165654 184060 193263 248481 257684 276090 322105 331308 386526 414135 496962 552180 579789 644210 745443 773052 828270 966315 993924 1159578 1242405 1288420 1490886 1656540 1739367 1932630 2319156 2484810 2898945 2981772 3478734 3727215 3865260 4969620 5218101 5797890 6957468 7454430 8696835 10436202 11595780 14908860 17393670 20872404 26090505 34787340 52181010 104362020