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2970720 = 253252063
BaseRepresentation
bin1011010101010001100000
312120221001200
423111101200
51230030340
6143401200
734151664
oct13252140
95527050
102970720
111749a45
12bb3200
1380022c
145748a4
153da330
hex2d5460

2970720 has 72 divisors (see below), whose sum is σ = 10142496. Its totient is φ = 791808.

The previous prime is 2970719. The next prime is 2970769. The reversal of 2970720 is 270792.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 409 + ... + 2471.

It is an arithmetic number, because the mean of its divisors is an integer number (140868).

22970720 is an apocalyptic number.

2970720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2970720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071248).

2970720 is an abundant number, since it is smaller than the sum of its proper divisors (7171776).

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

2970720 is a wasteful number, since it uses less digits than its factorization.

2970720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 2970720 is about 1723.5776744899. The cubic root of 2970720 is about 143.7542103367.

The spelling of 2970720 in words is "two million, nine hundred seventy thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2063 4126 6189 8252 10315 12378 16504 18567 20630 24756 30945 33008 37134 41260 49512 61890 66016 74268 82520 92835 99024 123780 148536 165040 185670 198048 247560 297072 330080 371340 495120 594144 742680 990240 1485360 2970720