Search a number
-
+
104008940 = 22577310177
BaseRepresentation
bin1100011001100…
…00110011101100
321020201012102222
412030300303230
5203111241230
614153134512
72402030030
oct614606354
9236635388
10104008940
115378a502
122a9ba438
1318718469
14db561c0
1591e76e5
hex6330cec

104008940 has 48 divisors (see below), whose sum is σ = 253065792. Its totient is φ = 35168256.

The previous prime is 104008939. The next prime is 104008943. The reversal of 104008940 is 49800401.

It is not an unprimeable number, because it can be changed into a prime (104008943) 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 15 ways as a sum of consecutive naturals, for example, 5132 + ... + 15308.

It is an arithmetic number, because the mean of its divisors is an integer number (5272204).

Almost surely, 2104008940 is an apocalyptic number.

104008940 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 104008940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126532896).

104008940 is an abundant number, since it is smaller than the sum of its proper divisors (149056852).

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

104008940 is a wasteful number, since it uses less digits than its factorization.

104008940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10266 (or 10264 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 104008940 is about 10198.4773373284. The cubic root of 104008940 is about 470.2804121145.

The spelling of 104008940 in words is "one hundred four million, eight thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 730 1022 1460 2044 2555 5110 10177 10220 20354 40708 50885 71239 101770 142478 203540 284956 356195 712390 742921 1424780 1485842 2971684 3714605 5200447 7429210 10400894 14858420 20801788 26002235 52004470 104008940