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3986112 = 263131597
BaseRepresentation
bin1111001101001011000000
321111111220210
433031023000
52010023422
6221234120
745611214
oct17151300
97444823
103986112
112282909
121402940
13a97460
1475a944
1553b10c
hex3cd2c0

3986112 has 56 divisors (see below), whose sum is σ = 11364976. Its totient is φ = 1225728.

The previous prime is 3986111. The next prime is 3986113. The reversal of 3986112 is 2116893.

It is an interprime number because it is at equal distance from previous prime (3986111) and next prime (3986113).

It is a self number, because there is not a number n which added to its sum of digits gives 3986112.

It is not an unprimeable number, because it can be changed into a prime (3986111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1698 + ... + 3294.

It is an arithmetic number, because the mean of its divisors is an integer number (202946).

Almost surely, 23986112 is an apocalyptic number.

3986112 is a gapful number since it is divisible by the number (32) 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 3986112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5682488).

3986112 is an abundant number, since it is smaller than the sum of its proper divisors (7378864).

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

3986112 is a wasteful number, since it uses less digits than its factorization.

3986112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1615 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 3986112 is about 1996.5249810608. The cubic root of 3986112 is about 158.5561769509.

The spelling of 3986112 in words is "three million, nine hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 1597 2496 3194 4791 6388 9582 12776 19164 20761 25552 38328 41522 51104 62283 76656 83044 102208 124566 153312 166088 249132 306624 332176 498264 664352 996528 1328704 1993056 3986112