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4120672 = 25612111
BaseRepresentation
bin1111101110000001100000
321202100111111
433232001200
52023330142
6224153104
750011423
oct17560140
97670444
104120672
112364a16
121468794
13b1378a
147939ba
15565e17
hex3ee060

4120672 has 24 divisors (see below), whose sum is σ = 8249472. Its totient is φ = 2025600.

The previous prime is 4120661. The next prime is 4120673. The reversal of 4120672 is 2760214.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120673) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 897 + ... + 3007.

It is an arithmetic number, because the mean of its divisors is an integer number (343728).

Almost surely, 24120672 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 4120672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124736).

4120672 is an abundant number, since it is smaller than the sum of its proper divisors (4128800).

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

4120672 is a wasteful number, since it uses less digits than its factorization.

4120672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 4120672 is about 2029.9438415877. The cubic root of 4120672 is about 160.3206071400.

Adding to 4120672 its reverse (2760214), we get a palindrome (6880886).

The spelling of 4120672 in words is "four million, one hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 2111 4222 8444 16888 33776 67552 128771 257542 515084 1030168 2060336 4120672