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104633120 = 255837879
BaseRepresentation
bin1100011110010…
…01001100100000
321021212220122202
412033021030200
5203241224440
614214352332
72410236554
oct617111440
9237786582
10104633120
1154076459
122b05b6a8
13188a65b7
14dc79864
1592bc615
hex63c9320

104633120 has 48 divisors (see below), whose sum is σ = 250205760. Its totient is φ = 41343744.

The previous prime is 104633119. The next prime is 104633159. The reversal of 104633120 is 21336401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 104633092 and 104633101.

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, 9341 + ... + 17219.

It is an arithmetic number, because the mean of its divisors is an integer number (5212620).

Almost surely, 2104633120 is an apocalyptic number.

104633120 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 104633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125102880).

104633120 is an abundant number, since it is smaller than the sum of its proper divisors (145572640).

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

104633120 is an equidigital number, since it uses as much as digits as its factorization.

104633120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7977 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 104633120 is about 10229.0331898963. The cubic root of 104633120 is about 471.2192877517.

Adding to 104633120 its reverse (21336401), we get a palindrome (125969521).

The spelling of 104633120 in words is "one hundred four million, six hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1328 1660 2656 3320 6640 7879 13280 15758 31516 39395 63032 78790 126064 157580 252128 315160 630320 653957 1260640 1307914 2615828 3269785 5231656 6539570 10463312 13079140 20926624 26158280 52316560 104633120