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2117040 = 24358821
BaseRepresentation
bin1000000100110110110000
310222120000220
420010312300
51020221130
6113213040
723665062
oct10046660
93876026
102117040
111216622
12861180
135917b3
143d1732
152bc410
hex204db0

2117040 has 40 divisors (see below), whose sum is σ = 6563568. Its totient is φ = 564480.

The previous prime is 2117039. The next prime is 2117041. The reversal of 2117040 is 407112.

It is an interprime number because it is at equal distance from previous prime (2117039) and next prime (2117041).

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (2117041) 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, 4171 + ... + 4650.

22117040 is an apocalyptic number.

2117040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2117040 is an abundant number, since it is smaller than the sum of its proper divisors (4446528).

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

2117040 is a wasteful number, since it uses less digits than its factorization.

2117040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8837 (or 8831 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 2117040 is about 1455.0051546300. The cubic root of 2117040 is about 128.4033500354.

Subtracting from 2117040 its sum of digits (15), we obtain a square (2117025 = 14552).

The spelling of 2117040 in words is "two million, one hundred seventeen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8821 17642 26463 35284 44105 52926 70568 88210 105852 132315 141136 176420 211704 264630 352840 423408 529260 705680 1058520 2117040