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2947120 = 2451117197
BaseRepresentation
bin1011001111100000110000
312112201200121
423033200300
51223301440
6143100024
734023121
oct13174060
95481617
102947120
111733240
12ba1614
137c2577
1456a048
153d334a
hex2cf830

2947120 has 80 divisors (see below), whose sum is σ = 7954848. Its totient is φ = 1003520.

The previous prime is 2947117. The next prime is 2947123. The reversal of 2947120 is 217492.

2947120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2947117) and next prime (2947123).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2947123) 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, 14862 + ... + 15058.

22947120 is an apocalyptic number.

2947120 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 2947120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977424).

2947120 is an abundant number, since it is smaller than the sum of its proper divisors (5007728).

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

2947120 is a wasteful number, since it uses less digits than its factorization.

2947120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 2947120 is about 1716.7177985913. The cubic root of 2947120 is about 143.3725269898.

The spelling of 2947120 in words is "two million, nine hundred forty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 197 220 272 340 374 394 440 680 748 788 880 935 985 1360 1496 1576 1870 1970 2167 2992 3152 3349 3740 3940 4334 6698 7480 7880 8668 10835 13396 14960 15760 16745 17336 21670 26792 33490 34672 36839 43340 53584 66980 73678 86680 133960 147356 173360 184195 267920 294712 368390 589424 736780 1473560 2947120