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104810320 = 2451737573
BaseRepresentation
bin1100011111101…
…00011101010000
321022012220201201
412033310131100
5203312412240
614222240544
72411605306
oct617643520
9238186651
10104810320
11541875aa
122b126154
1318939154
14dcc4276
159304d9a
hex63f4750

104810320 has 40 divisors (see below), whose sum is σ = 245124936. Its totient is φ = 41676288.

The previous prime is 104810317. The next prime is 104810347. The reversal of 104810320 is 23018401.

It can be written as a sum of positive squares in 4 ways, for example, as 67502656 + 37307664 = 8216^2 + 6108^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 10054 + ... + 17626.

Almost surely, 2104810320 is an apocalyptic number.

104810320 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 104810320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122562468).

104810320 is an abundant number, since it is smaller than the sum of its proper divisors (140314616).

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

104810320 is a wasteful number, since it uses less digits than its factorization.

104810320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7759 (or 7753 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 104810320 is about 10237.6911459567. The cubic root of 104810320 is about 471.4851467368.

Adding to 104810320 its reverse (23018401), we get a palindrome (127828721).

The spelling of 104810320 in words is "one hundred four million, eight hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 7573 13840 15146 30292 37865 60584 75730 121168 151460 302920 605840 1310129 2620258 5240516 6550645 10481032 13101290 20962064 26202580 52405160 104810320