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104213408 = 2513673739
BaseRepresentation
bin1100011011000…
…10101110100000
321021002120220212
412031202232200
5203134312113
614201353252
72403541115
oct615425640
9237076825
10104213408
115390a092
122aa98828
131878a550
14dbaa90c
1592380a8
hex6362ba0

104213408 has 48 divisors (see below), whose sum is σ = 224310240. Its totient is φ = 47367936.

The previous prime is 104213407. The next prime is 104213441. The reversal of 104213408 is 804312401.

It is not an unprimeable number, because it can be changed into a prime (104213401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26003 + ... + 29741.

It is an arithmetic number, because the mean of its divisors is an integer number (4673130).

Almost surely, 2104213408 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 104213408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112155120).

104213408 is an abundant number, since it is smaller than the sum of its proper divisors (120096832).

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

104213408 is a wasteful number, since it uses less digits than its factorization.

104213408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 104213408 is about 10208.4968531121. The cubic root of 104213408 is about 470.5883803627.

Adding to 104213408 its reverse (804312401), we get a palindrome (908525809).

The spelling of 104213408 in words is "one hundred four million, two hundred thirteen thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 67 104 134 208 268 416 536 871 1072 1742 2144 3484 3739 6968 7478 13936 14956 27872 29912 48607 59824 97214 119648 194428 250513 388856 501026 777712 1002052 1555424 2004104 3256669 4008208 6513338 8016416 13026676 26053352 52106704 104213408