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6421120 = 27579127
BaseRepresentation
bin11000011111101010000000
3110002020010021
4120133222000
53120433440
6345343224
7105402316
oct30375200
913066107
106421120
113696312
122197b14
13143a8a4
14bd20b6
1586c84a
hex61fa80

6421120 has 64 divisors (see below), whose sum is σ = 15667200. Its totient is φ = 2515968.

The previous prime is 6421111. The next prime is 6421127. The reversal of 6421120 is 211246.

6421120 = T104 + T105 + ... + T340.

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 (16).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6421094 and 6421103.

It is not an unprimeable number, because it can be changed into a prime (6421127) 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, 50497 + ... + 50623.

It is an arithmetic number, because the mean of its divisors is an integer number (244800).

Almost surely, 26421120 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 6421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7833600).

6421120 is an abundant number, since it is smaller than the sum of its proper divisors (9246080).

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

6421120 is a wasteful number, since it uses less digits than its factorization.

6421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 6421120 is about 2533.9928965962. The cubic root of 6421120 is about 185.8675590113.

Adding to 6421120 its reverse (211246), we get a palindrome (6632366).

The spelling of 6421120 in words is "six million, four hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 127 128 158 160 254 316 320 395 508 632 635 640 790 1016 1264 1270 1580 2032 2528 2540 3160 4064 5056 5080 6320 8128 10033 10112 10160 12640 16256 20066 20320 25280 40132 40640 50165 50560 80264 81280 100330 160528 200660 321056 401320 642112 802640 1284224 1605280 3210560 6421120