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994688010 = 232531541659
BaseRepresentation
bin111011010010011…
…011110000001010
32120022200101102200
4323102123300022
54014120004020
6242411341030
733435465021
oct7322336012
92508611380
10994688010
11470525908
12239151776
1312b0ca3b4
14961678b8
155c4d2590
hex3b49bc0a

994688010 has 96 divisors (see below), whose sum is σ = 2678607360. Its totient is φ = 255830400.

The previous prime is 994687949. The next prime is 994688011. The reversal of 994688010 is 10886499.

994688010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (994688011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1509061 + ... + 1509719.

It is an arithmetic number, because the mean of its divisors is an integer number (27902160).

Almost surely, 2994688010 is an apocalyptic number.

994688010 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 994688010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339303680).

994688010 is an abundant number, since it is smaller than the sum of its proper divisors (1683919350).

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

994688010 is a wasteful number, since it uses less digits than its factorization.

994688010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 994688010 is about 31538.6748294851. The cubic root of 994688010 is about 998.2261921327.

The spelling of 994688010 in words is "nine hundred ninety-four million, six hundred eighty-eight thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 541 558 659 930 1082 1318 1395 1623 1977 2705 2790 3246 3295 3954 4869 5410 5931 6590 8115 9738 9885 11862 16230 16771 19770 20429 24345 29655 33542 40858 48690 50313 59310 61287 83855 100626 102145 122574 150939 167710 183861 204290 251565 301878 306435 356519 367722 503130 612870 713038 754695 919305 1069557 1509390 1782595 1838610 2139114 3208671 3565190 5347785 6417342 10695570 11052089 16043355 22104178 32086710 33156267 55260445 66312534 99468801 110520890 165781335 198937602 331562670 497344005 994688010