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3879720 = 2332513829
BaseRepresentation
bin1110110011001100101000
321022002222100
432303030220
51443122340
6215053400
744656065
oct16631450
97262870
103879720
11220a989
121371260
13a5abc0
1472dc6c
15519830
hex3b3328

3879720 has 96 divisors (see below), whose sum is σ = 13595400. Its totient is φ = 953856.

The previous prime is 3879719. The next prime is 3879721. The reversal of 3879720 is 279783.

3879720 is digitally balanced in base 2, 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 (3879719) and next prime (3879721).

It can be written as a sum of positive squares in 4 ways, for example, as 2566404 + 1313316 = 1602^2 + 1146^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3879721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4266 + ... + 5094.

Almost surely, 23879720 is an apocalyptic number.

3879720 is a gapful number since it is divisible by the number (30) 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 3879720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6797700).

3879720 is an abundant number, since it is smaller than the sum of its proper divisors (9715680).

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

3879720 is a wasteful number, since it uses less digits than its factorization.

3879720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 3879720 is about 1969.7004848453. The cubic root of 3879720 is about 157.1327801488.

The spelling of 3879720 in words is "three million, eight hundred seventy-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 829 936 1170 1560 1658 2340 2487 3316 4145 4680 4974 6632 7461 8290 9948 10777 12435 14922 16580 19896 21554 24870 29844 32331 33160 37305 43108 49740 53885 59688 64662 74610 86216 96993 99480 107770 129324 149220 161655 193986 215540 258648 298440 323310 387972 431080 484965 646620 775944 969930 1293240 1939860 3879720