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2972190 = 235137621
BaseRepresentation
bin1011010101101000011110
312121000002010
423111220132
51230102230
6143412050
734156164
oct13255036
95530063
102972190
111750061
12bb4026
13800ac0
14575234
153da9b0
hex2d5a1e

2972190 has 32 divisors (see below), whose sum is σ = 7682976. Its totient is φ = 731520.

The previous prime is 2972183. The next prime is 2972197. The reversal of 2972190 is 912792.

It is an interprime number because it is at equal distance from previous prime (2972183) and next prime (2972197).

It is a super-2 number, since 2×29721902 = 17667826792200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3421 + ... + 4200.

It is an arithmetic number, because the mean of its divisors is an integer number (240093).

22972190 is an apocalyptic number.

2972190 is an abundant number, since it is smaller than the sum of its proper divisors (4710786).

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

2972190 is a wasteful number, since it uses less digits than its factorization.

2972190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7644.

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 2972190 is about 1724.0040603200. The cubic root of 2972190 is about 143.7779177031. Note that the first 3 decimals are identical.

The spelling of 2972190 in words is "two million, nine hundred seventy-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 7621 15242 22863 38105 45726 76210 99073 114315 198146 228630 297219 495365 594438 990730 1486095 2972190