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3720920 = 235797137
BaseRepresentation
bin1110001100011011011000
321000001010212
432030123120
51423032140
6211430252
743425110
oct16143330
97001125
103720920
112111645
1212b5388
13a03838
146cc040
154d7765
hex38c6d8

3720920 has 64 divisors (see below), whose sum is σ = 9737280. Its totient is φ = 1253376.

The previous prime is 3720911. The next prime is 3720923. The reversal of 3720920 is 290273.

3720920 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3720923) 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 15 ways as a sum of consecutive naturals, for example, 27092 + ... + 27228.

It is an arithmetic number, because the mean of its divisors is an integer number (152145).

Almost surely, 23720920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3720920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868640).

3720920 is an abundant number, since it is smaller than the sum of its proper divisors (6016360).

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

3720920 is a wasteful number, since it uses less digits than its factorization.

3720920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 3720920 is about 1928.9686363443. The cubic root of 3720920 is about 154.9589901912.

The spelling of 3720920 in words is "three million, seven hundred twenty thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 97 137 140 194 274 280 388 485 548 679 685 776 959 970 1096 1358 1370 1918 1940 2716 2740 3395 3836 3880 4795 5432 5480 6790 7672 9590 13289 13580 19180 26578 27160 38360 53156 66445 93023 106312 132890 186046 265780 372092 465115 531560 744184 930230 1860460 3720920