Search a number
-
+
999953112 = 233312814783
BaseRepresentation
bin111011100110100…
…001001011011000
32120200120212210110
4323212201023120
54021441444422
6243120244320
733531314124
oct7346411330
92520525713
10999953112
114734a1634
1223aa706a0
1312c221a42
1496b38584
155cbc260c
hex3b9a12d8

999953112 has 64 divisors (see below), whose sum is σ = 2590248960. Its totient is φ = 321350400.

The previous prime is 999953111. The next prime is 999953113. The reversal of 999953112 is 211359999.

999953112 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 (999953111) and next prime (999953113).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999953111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206673 + ... + 211455.

It is an arithmetic number, because the mean of its divisors is an integer number (40472640).

Almost surely, 2999953112 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 999953112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295124480).

999953112 is an abundant number, since it is smaller than the sum of its proper divisors (1590295848).

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

999953112 is a wasteful number, since it uses less digits than its factorization.

999953112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104 (or 5100 counting only the distinct ones).

The product of its digits is 196830, while the sum is 48.

The square root of 999953112 is about 31622.0352286187. The cubic root of 999953112 is about 999.9843704224.

The spelling of 999953112 in words is "nine hundred ninety-nine million, nine hundred fifty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 281 372 562 744 843 1124 1686 2248 3372 4783 6744 8711 9566 14349 17422 19132 26133 28698 34844 38264 52266 57396 69688 104532 114792 148273 209064 296546 444819 593092 889638 1186184 1344023 1779276 2688046 3558552 4032069 5376092 8064138 10752184 16128276 32256552 41664713 83329426 124994139 166658852 249988278 333317704 499976556 999953112