Search a number
-
+
104468820 = 22354142467
BaseRepresentation
bin1100011101000…
…01000101010100
321021120120021120
412032201011110
5203221000240
614211043540
72405653551
oct616410524
9237516246
10104468820
1153a73a75
122aba05b0
1318849891
14dc35a28
159288ad0
hex63a1154

104468820 has 48 divisors (see below), whose sum is σ = 299654208. Its totient is φ = 27178240.

The previous prime is 104468809. The next prime is 104468867. The reversal of 104468820 is 28864401.

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 15 ways as a sum of consecutive naturals, for example, 18774 + ... + 23693.

It is an arithmetic number, because the mean of its divisors is an integer number (6242796).

Almost surely, 2104468820 is an apocalyptic number.

104468820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104468820 is an abundant number, since it is smaller than the sum of its proper divisors (195185388).

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

104468820 is a wasteful number, since it uses less digits than its factorization.

104468820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42520 (or 42518 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 104468820 is about 10220.9989727032. The cubic root of 104468820 is about 470.9725147479.

The spelling of 104468820 in words is "one hundred four million, four hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 42467 84934 127401 169868 212335 254802 424670 509604 637005 849340 1274010 1741147 2548020 3482294 5223441 6964588 8705735 10446882 17411470 20893764 26117205 34822940 52234410 104468820