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2670320 = 245291151
BaseRepresentation
bin1010001011111011110000
312000122222202
422023323300
51140422240
6133122332
731461122
oct12137360
95018882
102670320
111564284
12a893a8
13726593
144d7212
1537b315
hex28bef0

2670320 has 40 divisors (see below), whose sum is σ = 6428160. Its totient is φ = 1030400.

The previous prime is 2670301. The next prime is 2670331. The reversal of 2670320 is 230762.

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 (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2670292 and 2670301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1745 + ... + 2895.

It is an arithmetic number, because the mean of its divisors is an integer number (160704).

22670320 is an apocalyptic number.

2670320 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 2670320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080).

2670320 is an abundant number, since it is smaller than the sum of its proper divisors (3757840).

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

2670320 is a wasteful number, since it uses less digits than its factorization.

2670320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 2670320 is about 1634.1113793129. Note that the first 3 decimals coincide. The cubic root of 2670320 is about 138.7355529692.

The spelling of 2670320 in words is "two million, six hundred seventy thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1151 1160 2302 2320 4604 5755 9208 11510 18416 23020 33379 46040 66758 92080 133516 166895 267032 333790 534064 667580 1335160 2670320