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3820980 = 2235431481
BaseRepresentation
bin1110100100110110110100
321012010101210
432210312310
51434232410
6213521420
744322612
oct16446664
97163353
103820980
11217a839
121343270
13a3a247
147166b2
15507220
hex3a4db4

3820980 has 48 divisors (see below), whose sum is σ = 10954944. Its totient is φ = 994560.

The previous prime is 3820963. The next prime is 3820987. The reversal of 3820980 is 890283.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3820987) 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, 1840 + ... + 3320.

It is an arithmetic number, because the mean of its divisors is an integer number (228228).

Almost surely, 23820980 is an apocalyptic number.

3820980 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 3820980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5477472).

3820980 is an abundant number, since it is smaller than the sum of its proper divisors (7133964).

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

3820980 is a wasteful number, since it uses less digits than its factorization.

3820980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 3820980 is about 1954.7327183019. The cubic root of 3820980 is about 156.3357332169.

The spelling of 3820980 in words is "three million, eight hundred twenty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 1481 2580 2962 4443 5924 7405 8886 14810 17772 22215 29620 44430 63683 88860 127366 191049 254732 318415 382098 636830 764196 955245 1273660 1910490 3820980