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104820408 = 233272113773
BaseRepresentation
bin1100011111101…
…10111010111000
321022020102120100
412033312322320
5203313223113
614222355400
72411646600
oct617667270
9238212510
10104820408
1154194140
122b12bb60
1318940914
14dcc7c00
159307d73
hex63f6eb8

104820408 has 288 divisors, whose sum is σ = 375064560. Its totient is φ = 26127360.

The previous prime is 104820367. The next prime is 104820427. The reversal of 104820408 is 804028401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1435860 + ... + 1435932.

Almost surely, 2104820408 is an apocalyptic number.

104820408 is a gapful number since it is divisible by the number (18) 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 104820408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187532280).

104820408 is an abundant number, since it is smaller than the sum of its proper divisors (270244152).

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

104820408 is a wasteful number, since it uses less digits than its factorization.

104820408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 104820408 is about 10238.1838233155. The cubic root of 104820408 is about 471.5002730767.

Adding to 104820408 its reverse (804028401), we get a palindrome (908848809).

The spelling of 104820408 in words is "one hundred four million, eight hundred twenty thousand, four hundred eight".