Search a number
-
+
904141140 = 22357343933
BaseRepresentation
bin110101111001000…
…001100101010100
32100000022010110220
4311321001211110
53322430004030
6225414514340
731256034000
oct6571014524
92300263426
10904141140
11424400691
122129659b0
13115416576
1488117700
1554598a10
hex35e41954

904141140 has 96 divisors (see below), whose sum is σ = 2952364800. Its totient is φ = 206656128.

The previous prime is 904141099. The next prime is 904141159. The reversal of 904141140 is 41141409.

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 904141140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1387 + ... + 42546.

It is an arithmetic number, because the mean of its divisors is an integer number (30753800).

Almost surely, 2904141140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 904141140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476182400).

904141140 is an abundant number, since it is smaller than the sum of its proper divisors (2048223660).

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

904141140 is a wasteful number, since it uses less digits than its factorization.

904141140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43966 (or 43950 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 904141140 is about 30068.9397884262. The cubic root of 904141140 is about 966.9679438781.

Adding to 904141140 its reverse (41141409), we get a palindrome (945282549).

The spelling of 904141140 in words is "nine hundred four million, one hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 490 588 686 735 980 1029 1372 1470 1715 2058 2940 3430 4116 5145 6860 10290 20580 43933 87866 131799 175732 219665 263598 307531 439330 527196 615062 658995 878660 922593 1230124 1317990 1537655 1845186 2152717 2635980 3075310 3690372 4305434 4612965 6150620 6458151 8610868 9225930 10763585 12916302 15069019 18451860 21527170 25832604 30138038 32290755 43054340 45207057 60276076 64581510 75345095 90414114 129163020 150690190 180828228 226035285 301380380 452070570 904141140