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3976020 = 2233537199
BaseRepresentation
bin1111001010101101010100
321111000002000
433022231110
52004213040
6221115300
745536616
oct17125524
97430060
103976020
112276274
1213b8b30
13a92999
14756db6
15538130
hex3cab54

3976020 has 96 divisors (see below), whose sum is σ = 12768000. Its totient is φ = 1026432.

The previous prime is 3976019. The next prime is 3976031. The reversal of 3976020 is 206793.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19881 + ... + 20079.

It is an arithmetic number, because the mean of its divisors is an integer number (133000).

Almost surely, 23976020 is an apocalyptic number.

3976020 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 3976020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6384000).

3976020 is an abundant number, since it is smaller than the sum of its proper divisors (8791980).

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

3976020 is a wasteful number, since it uses less digits than its factorization.

3976020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3976020 is about 1993.9959879599. The cubic root of 3976020 is about 158.4222535310.

The spelling of 3976020 in words is "three million, nine hundred seventy-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 199 222 270 333 370 398 444 540 555 597 666 740 796 995 999 1110 1194 1332 1665 1791 1990 1998 2220 2388 2985 3330 3582 3980 3996 4995 5373 5970 6660 7164 7363 8955 9990 10746 11940 14726 17910 19980 21492 22089 26865 29452 35820 36815 44178 53730 66267 73630 88356 107460 110445 132534 147260 198801 220890 265068 331335 397602 441780 662670 795204 994005 1325340 1988010 3976020