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3971970 = 233547313
BaseRepresentation
bin1111001001101110000010
321110210112000
433021232002
52004100340
6221044430
745522042
oct17115602
97423460
103971970
112273222
1213b6716
13a90ba2
14755722
15536d30
hex3c9b82

3971970 has 64 divisors (see below), whose sum is σ = 10851840. Its totient is φ = 1033344.

The previous prime is 3971963. The next prime is 3971977. The reversal of 3971970 is 791793.

3971970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3971963) and next prime (3971977).

It is not an unprimeable number, because it can be changed into a prime (3971977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12534 + ... + 12846.

It is an arithmetic number, because the mean of its divisors is an integer number (169560).

Almost surely, 23971970 is an apocalyptic number.

3971970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3971970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425920).

3971970 is an abundant number, since it is smaller than the sum of its proper divisors (6879870).

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

3971970 is a wasteful number, since it uses less digits than its factorization.

3971970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 11907, while the sum is 36.

The square root of 3971970 is about 1992.9801805337. The cubic root of 3971970 is about 158.3684452755.

The spelling of 3971970 in words is "three million, nine hundred seventy-one thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 313 423 470 626 705 846 939 1269 1410 1565 1878 2115 2538 2817 3130 4230 4695 5634 6345 8451 9390 12690 14085 14711 16902 28170 29422 42255 44133 73555 84510 88266 132399 147110 220665 264798 397197 441330 661995 794394 1323990 1985985 3971970