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3120272 = 242361139
BaseRepresentation
bin1011111001110010010000
312212112012122
423321302100
51244322042
6150513412
735344001
oct13716220
95775178
103120272
111841341
121065868
1385331c
145b31a8
154197d2
hex2f9c90

3120272 has 40 divisors (see below), whose sum is σ = 6457920. Its totient is φ = 1457280.

The previous prime is 3120253. The next prime is 3120277. The reversal of 3120272 is 2720213.

3120272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3120272.

It is not an unprimeable number, because it can be changed into a prime (3120277) by changing a digit.

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, 22379 + ... + 22517.

It is an arithmetic number, because the mean of its divisors is an integer number (161448).

Almost surely, 23120272 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 3120272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228960).

3120272 is an abundant number, since it is smaller than the sum of its proper divisors (3337648).

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

3120272 is a wasteful number, since it uses less digits than its factorization.

3120272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 3120272 is about 1766.4291664259. The cubic root of 3120272 is about 146.1271176635.

Adding to 3120272 its reverse (2720213), we get a palindrome (5840485).

The spelling of 3120272 in words is "three million, one hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 23 46 61 92 122 139 184 244 278 368 488 556 976 1112 1403 2224 2806 3197 5612 6394 8479 11224 12788 16958 22448 25576 33916 51152 67832 135664 195017 390034 780068 1560136 3120272