Search a number
-
+
3965976 = 233374361
BaseRepresentation
bin1111001000010000011000
321110111022000
433020100120
52003402401
6221001000
745465420
oct17102030
97414260
103965976
112269773
1213b3160
13a8b241
14753480
15535186
hex3c8418

3965976 has 128 divisors (see below), whose sum is σ = 13094400. Its totient is φ = 1088640.

The previous prime is 3965963. The next prime is 3966007. The reversal of 3965976 is 6795693.

Its product of digits (306180) is a multiple of the sum of its prime factors (126).

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, 64986 + ... + 65046.

It is an arithmetic number, because the mean of its divisors is an integer number (102300).

Almost surely, 23965976 is an apocalyptic number.

3965976 is a gapful number since it is divisible by the number (36) 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 3965976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547200).

3965976 is an abundant number, since it is smaller than the sum of its proper divisors (9128424).

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

3965976 is a wasteful number, since it uses less digits than its factorization.

3965976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 3965976 is about 1991.4758346513. The cubic root of 3965976 is about 158.2887418904.

The spelling of 3965976 in words is "three million, nine hundred sixty-five thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 43 54 56 61 63 72 84 86 108 122 126 129 168 172 183 189 216 244 252 258 301 344 366 378 387 427 488 504 516 549 602 732 756 774 854 903 1032 1098 1161 1204 1281 1464 1512 1548 1647 1708 1806 2196 2322 2408 2562 2623 2709 3096 3294 3416 3612 3843 4392 4644 5124 5246 5418 6588 7224 7686 7869 8127 9288 10248 10492 10836 11529 13176 15372 15738 16254 18361 20984 21672 23058 23607 30744 31476 32508 36722 46116 47214 55083 62952 65016 70821 73444 92232 94428 110166 141642 146888 165249 188856 220332 283284 330498 440664 495747 566568 660996 991494 1321992 1982988 3965976