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104631040 = 285431901
BaseRepresentation
bin1100011110010…
…00101100000000
321021212210210201
412033020230000
5203241143130
614214334544
72410230523
oct617105400
9237783721
10104631040
1154074938
122b05a454
13188a5677
14dc78bba
1592bbbca
hex63c8b00

104631040 has 72 divisors (see below), whose sum is σ = 256587408. Its totient is φ = 40857600.

The previous prime is 104631031. The next prime is 104631053. The reversal of 104631040 is 40136401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 104630999 and 104631017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54090 + ... + 55990.

It is an arithmetic number, because the mean of its divisors is an integer number (3563714).

Almost surely, 2104631040 is an apocalyptic number.

104631040 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 104631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128293704).

104631040 is an abundant number, since it is smaller than the sum of its proper divisors (151956368).

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

104631040 is an equidigital number, since it uses as much as digits as its factorization.

104631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 104631040 is about 10228.9315180032. The cubic root of 104631040 is about 471.2161652776.

Adding to 104631040 its reverse (40136401), we get a palindrome (144767441).

The spelling of 104631040 in words is "one hundred four million, six hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 640 688 860 1280 1376 1720 1901 2752 3440 3802 5504 6880 7604 9505 11008 13760 15208 19010 27520 30416 38020 55040 60832 76040 81743 121664 152080 163486 243328 304160 326972 408715 486656 608320 653944 817430 1216640 1307888 1634860 2433280 2615776 3269720 5231552 6539440 10463104 13078880 20926208 26157760 52315520 104631040