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4387920 = 243547389
BaseRepresentation
bin10000101111010001010000
322020221002120
4100233101100
52110403140
6234014240
752203525
oct20572120
98227076
104387920
112527789
121577380
13ba8304
1482314c
155ba1d0
hex42f450

4387920 has 80 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 1142272.

The previous prime is 4387919. The next prime is 4387931. The reversal of 4387920 is 297834.

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, 11086 + ... + 11474.

It is an arithmetic number, because the mean of its divisors is an integer number (174096).

Almost surely, 24387920 is an apocalyptic number.

4387920 is a gapful number since it is divisible by the number (40) 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 4387920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963840).

4387920 is an abundant number, since it is smaller than the sum of its proper divisors (9539760).

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

4387920 is a wasteful number, since it uses less digits than its factorization.

4387920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 4387920 is about 2094.7362602485. The cubic root of 4387920 is about 163.7141560533.

The spelling of 4387920 in words is "four million, three hundred eighty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 389 470 564 705 752 778 940 1128 1167 1410 1556 1880 1945 2256 2334 2820 3112 3760 3890 4668 5640 5835 6224 7780 9336 11280 11670 15560 18283 18672 23340 31120 36566 46680 54849 73132 91415 93360 109698 146264 182830 219396 274245 292528 365660 438792 548490 731320 877584 1096980 1462640 2193960 4387920