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2071320 = 233541421
BaseRepresentation
bin111111001101100011000
310220020022120
413321230120
51012240240
6112221240
723414556
oct7715430
93806276
102071320
111195239
1283a820
13576a44
143bcbd6
152adad0
hex1f9b18

2071320 has 64 divisors (see below), whose sum is σ = 6380640. Its totient is φ = 537600.

The previous prime is 2071319. The next prime is 2071339. The reversal of 2071320 is 231702.

2071320 = 412 + 422 + ... + 1842.

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 2071320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4710 + ... + 5130.

22071320 is an apocalyptic number.

2071320 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 2071320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3190320).

2071320 is an abundant number, since it is smaller than the sum of its proper divisors (4309320).

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

2071320 is a wasteful number, since it uses less digits than its factorization.

2071320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 2071320 is about 1439.2081155969. The cubic root of 2071320 is about 127.4722738635.

The spelling of 2071320 in words is "two million, seventy-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 421 492 615 820 842 984 1230 1263 1640 1684 2105 2460 2526 3368 4210 4920 5052 6315 8420 10104 12630 16840 17261 25260 34522 50520 51783 69044 86305 103566 138088 172610 207132 258915 345220 414264 517830 690440 1035660 2071320