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3997140 = 2235731307
BaseRepresentation
bin1111001111110111010100
321112002001020
433033313110
52010402030
6221401140
745655320
oct17176724
97462036
103997140
112290124
1214091b0
13a9c494
14760980
1553e510
hex3cfdd4

3997140 has 96 divisors (see below), whose sum is σ = 13246464. Its totient is φ = 881280.

The previous prime is 3997129. The next prime is 3997141. The reversal of 3997140 is 417993.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3997141) 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, 12867 + ... + 13173.

It is an arithmetic number, because the mean of its divisors is an integer number (137984).

Almost surely, 23997140 is an apocalyptic number.

3997140 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 3997140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6623232).

3997140 is an abundant number, since it is smaller than the sum of its proper divisors (9249324).

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

3997140 is a wasteful number, since it uses less digits than its factorization.

3997140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 3997140 is about 1999.2848721480. The cubic root of 3997140 is about 158.7022631180.

It can be divided in two parts, 39 and 97140, that added together give a palindrome (97179).

The spelling of 3997140 in words is "three million, nine hundred ninety-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 307 310 372 420 434 465 614 620 651 868 921 930 1085 1228 1302 1535 1842 1860 2149 2170 2604 3070 3255 3684 4298 4340 4605 6140 6447 6510 8596 9210 9517 10745 12894 13020 18420 19034 21490 25788 28551 32235 38068 42980 47585 57102 64470 66619 95170 114204 128940 133238 142755 190340 199857 266476 285510 333095 399714 571020 666190 799428 999285 1332380 1998570 3997140