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2028120 = 233516901
BaseRepresentation
bin111101111001001011000
310211001001120
413233021120
51004344440
6111245240
723144613
oct7571130
93731046
102028120
111165836
12819820
13560193
143ab17a
152a0dd0
hex1ef258

2028120 has 32 divisors (see below), whose sum is σ = 6084720. Its totient is φ = 540800.

The previous prime is 2028119. The next prime is 2028121. The reversal of 2028120 is 218202.

It is an interprime number because it is at equal distance from previous prime (2028119) and next prime (2028121).

It is a super-2 number, since 2×20281202 = 8226541468800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2028120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8331 + ... + 8570.

22028120 is an apocalyptic number.

2028120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2028120 is an abundant number, since it is smaller than the sum of its proper divisors (4056600).

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

2028120 is a wasteful number, since it uses less digits than its factorization.

2028120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16915 (or 16911 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2028120 is about 1424.1207813946. The cubic root of 2028120 is about 126.5798420071.

It can be divided in two parts, 20281 and 20, that added together give a triangular number (20301 = T201).

The spelling of 2028120 in words is "two million, twenty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 16901 33802 50703 67604 84505 101406 135208 169010 202812 253515 338020 405624 507030 676040 1014060 2028120