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104607104 = 277313373
BaseRepresentation
bin1100011110000…
…10110110000000
321021211120222012
412033002312000
5203234411404
614214032052
72410100660
oct617026600
9237746865
10104607104
1154058958
122b048628
13188977c4
14dc701a0
1592b4a6e
hex63c2d80

104607104 has 64 divisors (see below), whose sum is σ = 239569440. Its totient is φ = 44568576.

The previous prime is 104607079. The next prime is 104607127. The reversal of 104607104 is 401706401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 104607104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280262 + ... + 280634.

Almost surely, 2104607104 is an apocalyptic number.

104607104 is a gapful number since it is divisible by the number (14) 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 104607104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119784720).

104607104 is an abundant number, since it is smaller than the sum of its proper divisors (134962336).

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

104607104 is an equidigital number, since it uses as much as digits as its factorization.

104607104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 104607104 is about 10227.7614364044. The cubic root of 104607104 is about 471.1802298282.

The spelling of 104607104 in words is "one hundred four million, six hundred seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 313 373 448 626 746 896 1252 1492 2191 2504 2611 2984 4382 5008 5222 5968 8764 10016 10444 11936 17528 20032 20888 23872 35056 40064 41776 47744 70112 83552 116749 140224 167104 233498 280448 334208 466996 817243 933992 1634486 1867984 3268972 3735968 6537944 7471936 13075888 14943872 26151776 52303552 104607104