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3997980 = 22325719167
BaseRepresentation
bin1111010000000100011100
321112010012100
433100010130
52010413410
6221405100
745660630
oct17200434
97463170
103997980
112290818
121409790
13a9c98c
14760dc0
1553e8c0
hex3d011c

3997980 has 144 divisors (see below), whose sum is σ = 14676480. Its totient is φ = 860544.

The previous prime is 3997979. The next prime is 3997993. The reversal of 3997980 is 897993.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23857 + ... + 24023.

It is an arithmetic number, because the mean of its divisors is an integer number (101920).

Almost surely, 23997980 is an apocalyptic number.

3997980 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 3997980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338240).

3997980 is an abundant number, since it is smaller than the sum of its proper divisors (10678500).

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

3997980 is a wasteful number, since it uses less digits than its factorization.

3997980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 3997980 is about 1999.4949362276. The cubic root of 3997980 is about 158.7133794464.

The spelling of 3997980 in words is "three million, nine hundred ninety-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 167 171 180 190 210 228 252 266 285 315 334 342 380 399 420 501 532 570 630 665 668 684 798 835 855 1002 1140 1169 1197 1260 1330 1503 1596 1670 1710 1995 2004 2338 2394 2505 2660 3006 3173 3340 3420 3507 3990 4676 4788 5010 5845 5985 6012 6346 7014 7515 7980 9519 10020 10521 11690 11970 12692 14028 15030 15865 17535 19038 21042 22211 23380 23940 28557 30060 31730 35070 38076 42084 44422 47595 52605 57114 63460 66633 70140 88844 95190 105210 111055 114228 133266 142785 190380 199899 210420 222110 266532 285570 333165 399798 444220 571140 666330 799596 999495 1332660 1998990 3997980