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3979020 = 2235174783
BaseRepresentation
bin1111001011011100001100
321111011012010
433023130030
52004312040
6221141220
745551433
oct17133414
97434163
103979020
112278551
1213ba810
13a94166
1475811a
15538e80
hex3cb70c

3979020 has 96 divisors (see below), whose sum is σ = 12192768. Its totient is φ = 965632.

The previous prime is 3979013. The next prime is 3979021. The reversal of 3979020 is 209793.

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 (3979021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47899 + ... + 47981.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

Almost surely, 23979020 is an apocalyptic number.

3979020 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 3979020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384).

3979020 is an abundant number, since it is smaller than the sum of its proper divisors (8213748).

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

3979020 is a wasteful number, since it uses less digits than its factorization.

3979020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 3979020 is about 1994.7481043981. The cubic root of 3979020 is about 158.4620879447.

The spelling of 3979020 in words is "three million, nine hundred seventy-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 47 51 60 68 83 85 94 102 141 166 170 188 204 235 249 255 282 332 340 415 470 498 510 564 705 799 830 940 996 1020 1245 1410 1411 1598 1660 2397 2490 2820 2822 3196 3901 3995 4233 4794 4980 5644 7055 7802 7990 8466 9588 11703 11985 14110 15604 15980 16932 19505 21165 23406 23970 28220 39010 42330 46812 47940 58515 66317 78020 84660 117030 132634 198951 234060 265268 331585 397902 663170 795804 994755 1326340 1989510 3979020