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3930976 = 257223109
BaseRepresentation
bin1110111111101101100000
321101201021201
432333231200
52001242401
6220130544
745261400
oct16775540
97351251
103930976
112245445
121396a54
13a7832a
14744800
15529b01
hex3bfb60

3930976 has 72 divisors (see below), whose sum is σ = 9480240. Its totient is φ = 1596672.

The previous prime is 3930973. The next prime is 3930989. The reversal of 3930976 is 6790393.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3930973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36010 + ... + 36118.

It is an arithmetic number, because the mean of its divisors is an integer number (131670).

Almost surely, 23930976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3930976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740120).

3930976 is an abundant number, since it is smaller than the sum of its proper divisors (5549264).

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

3930976 is a wasteful number, since it uses less digits than its factorization.

3930976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 37.

The square root of 3930976 is about 1982.6689083153. The cubic root of 3930976 is about 157.8217291796.

The spelling of 3930976 in words is "three million, nine hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 109 112 161 184 196 218 224 322 368 392 436 644 736 763 784 872 1127 1288 1526 1568 1744 2254 2507 2576 3052 3488 4508 5014 5152 5341 6104 9016 10028 10682 12208 17549 18032 20056 21364 24416 35098 36064 40112 42728 70196 80224 85456 122843 140392 170912 245686 280784 491372 561568 982744 1965488 3930976