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104220032 = 277412837
BaseRepresentation
bin1100011011001…
…00010110000000
321021002221000012
412031210112000
5203140020112
614201444052
72403566330
oct615442600
9237087005
10104220032
1153914064
122aaa0628
1318790577
14dbad0c0
15923a022
hex6364580

104220032 has 64 divisors (see below), whose sum is σ = 243159840. Its totient is φ = 43560960.

The previous prime is 104220031. The next prime is 104220071. The reversal of 104220032 is 230022401.

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

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 104219989 and 104220016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104220031) 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, 35318 + ... + 38154.

Almost surely, 2104220032 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 104220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121579920).

104220032 is an abundant number, since it is smaller than the sum of its proper divisors (138939808).

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

104220032 is an equidigital number, since it uses as much as digits as its factorization.

104220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 104220032 is about 10208.8212835763. The cubic root of 104220032 is about 470.5983506453.

Adding to 104220032 its reverse (230022401), we get a palindrome (334242433).

The spelling of 104220032 in words is "one hundred four million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 287 328 448 574 656 896 1148 1312 2296 2624 2837 4592 5248 5674 9184 11348 18368 19859 22696 36736 39718 45392 79436 90784 116317 158872 181568 232634 317744 363136 465268 635488 814219 930536 1270976 1628438 1861072 2541952 3256876 3722144 6513752 7444288 13027504 14888576 26055008 52110016 104220032