Search a number
-
+
9986112 = 26335779
BaseRepresentation
bin100110000110…
…000001000000
3200210100101000
4212012001000
510024023422
6554012000
7150611013
oct46060100
920710330
109986112
115700794
123417000
1320b8456
14147d37a
15d23cac
hex986040

9986112 has 56 divisors (see below), whose sum is σ = 29362400. Its totient is φ = 3328128.

The previous prime is 9986111. The next prime is 9986113. The reversal of 9986112 is 2116899.

It is an interprime number because it is at equal distance from previous prime (9986111) and next prime (9986113).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9986111) 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, 1162 + ... + 4617.

Almost surely, 29986112 is an apocalyptic number.

It is an amenable number.

9986112 is an abundant number, since it is smaller than the sum of its proper divisors (19376288).

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

9986112 is a wasteful number, since it uses less digits than its factorization.

9986112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5800 (or 5784 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 9986112 is about 3160.0810116198. The cubic root of 9986112 is about 215.3436868332.

The spelling of 9986112 in words is "nine million, nine hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 5779 11558 17337 23116 34674 46232 52011 69348 92464 104022 138696 156033 184928 208044 277392 312066 369856 416088 554784 624132 832176 1109568 1248264 1664352 2496528 3328704 4993056 9986112