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4021120 = 27561103
BaseRepresentation
bin1111010101101110000000
321120021221101
433111232000
52012133440
6222104144
746115245
oct17255600
97507841
104021120
1122a7144
12141b054
13aaa37c
147695cc
1554669a
hex3d5b80

4021120 has 64 divisors (see below), whose sum is σ = 9865440. Its totient is φ = 1566720.

The previous prime is 4021099. The next prime is 4021151. The reversal of 4021120 is 211204.

4021120 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 4021097 and 4021106.

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, 38989 + ... + 39091.

Almost surely, 24021120 is an apocalyptic number.

4021120 is a gapful number since it is divisible by the number (40) 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 4021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932720).

4021120 is an abundant number, since it is smaller than the sum of its proper divisors (5844320).

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

4021120 is a wasteful number, since it uses less digits than its factorization.

4021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4021120 is about 2005.2730487392. The cubic root of 4021120 is about 159.0189975059.

Adding to 4021120 its reverse (211204), we get a palindrome (4232324).

The spelling of 4021120 in words is "four million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 103 122 128 160 206 244 305 320 412 488 515 610 640 824 976 1030 1220 1648 1952 2060 2440 3296 3904 4120 4880 6283 6592 7808 8240 9760 12566 13184 16480 19520 25132 31415 32960 39040 50264 62830 65920 100528 125660 201056 251320 402112 502640 804224 1005280 2010560 4021120