Search a number
-
+
3360120 = 233528001
BaseRepresentation
bin1100110100010101111000
320022201012220
430310111320
51330010440
6200004040
740363161
oct14642570
96281186
103360120
111995565
121160620
1390854a
14636768
154658d0
hex334578

3360120 has 32 divisors (see below), whose sum is σ = 10080720. Its totient is φ = 896000.

The previous prime is 3360113. The next prime is 3360127. The reversal of 3360120 is 210633.

3360120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3360113) and next prime (3360127).

It is a super-2 number, since 2×33601202 = 22580812828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3360120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3360127) 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, 13881 + ... + 14120.

Almost surely, 23360120 is an apocalyptic number.

3360120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3360120 is an abundant number, since it is smaller than the sum of its proper divisors (6720600).

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

3360120 is a wasteful number, since it uses less digits than its factorization.

3360120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28015 (or 28011 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3360120 is about 1833.0630103736. The cubic root of 3360120 is about 149.7792307880.

Adding to 3360120 its reverse (210633), we get a palindrome (3570753).

The spelling of 3360120 in words is "three million, three hundred sixty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 28001 56002 84003 112004 140005 168006 224008 280010 336012 420015 560020 672024 840030 1120040 1680060 3360120