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2842320 = 243513911
BaseRepresentation
bin1010110101111011010000
312100101221010
422311323100
51211423240
6140530520
733105435
oct12657320
95311833
102842320
111671528
12b50a40
13786960
1453db8c
153b2280
hex2b5ed0

2842320 has 80 divisors (see below), whose sum is σ = 9499392. Its totient is φ = 698880.

The previous prime is 2842309. The next prime is 2842331. The reversal of 2842320 is 232482.

It is an interprime number because it is at equal distance from previous prime (2842309) and next prime (2842331).

It is a tau number, because it is divible by the number of its divisors (80).

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, 2665 + ... + 3575.

22842320 is an apocalyptic number.

2842320 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 2842320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749696).

2842320 is an abundant number, since it is smaller than the sum of its proper divisors (6657072).

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

2842320 is a wasteful number, since it uses less digits than its factorization.

2842320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2842320 is about 1685.9181474793. The cubic root of 2842320 is about 141.6525260780.

The spelling of 2842320 in words is "two million, eight hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 911 1040 1560 1822 2733 3120 3644 4555 5466 7288 9110 10932 11843 13665 14576 18220 21864 23686 27330 35529 36440 43728 47372 54660 59215 71058 72880 94744 109320 118430 142116 177645 189488 218640 236860 284232 355290 473720 568464 710580 947440 1421160 2842320