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2106120 = 233517551
BaseRepresentation
bin1000000010001100001000
310222000001110
420002030020
51014343440
6113050320
723621202
oct10021410
93860043
102106120
1112093a5
128569a0
13589833
143cb772
152b9080
hex202308

2106120 has 32 divisors (see below), whose sum is σ = 6318720. Its totient is φ = 561600.

The previous prime is 2106107. The next prime is 2106149. The reversal of 2106120 is 216012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2106096 and 2106105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8656 + ... + 8895.

It is an arithmetic number, because the mean of its divisors is an integer number (197460).

22106120 is an apocalyptic number.

2106120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106120 is an abundant number, since it is smaller than the sum of its proper divisors (4212600).

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

2106120 is a wasteful number, since it uses less digits than its factorization.

2106120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17565 (or 17561 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2106120 is about 1451.2477390163. The cubic root of 2106120 is about 128.1821949680.

The spelling of 2106120 in words is "two million, one hundred six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 17551 35102 52653 70204 87755 105306 140408 175510 210612 263265 351020 421224 526530 702040 1053060 2106120