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994027104 = 253271925951
BaseRepresentation
bin111011001111111…
…010011001100000
32120021102210211200
4323033322121200
54013432331404
6242345241200
733430043130
oct7317723140
92507383750
10994027104
11470114304
12238a93200
1312ac28625
1496034ac0
155c401839
hex3b3fa660

994027104 has 144 divisors (see below), whose sum is σ = 3400750080. Its totient is φ = 269049600.

The previous prime is 994027079. The next prime is 994027117. The reversal of 994027104 is 401720499.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25329 + ... + 51279.

It is an arithmetic number, because the mean of its divisors is an integer number (23616320).

Almost surely, 2994027104 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 994027104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700375040).

994027104 is an abundant number, since it is smaller than the sum of its proper divisors (2406722976).

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

994027104 is a wasteful number, since it uses less digits than its factorization.

994027104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25993 (or 25982 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 994027104 is about 31528.1953812774. The cubic root of 994027104 is about 998.0050575176.

The spelling of 994027104 in words is "nine hundred ninety-four million, twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 12768 19152 25951 38304 51902 77853 103804 155706 181657 207608 233559 311412 363314 415216 467118 493069 544971 622824 726628 830432 934236 986138 1089942 1245648 1453256 1479207 1634913 1868472 1972276 2179884 2491296 2906512 2958414 3269826 3451483 3736944 3944552 4359768 4437621 5813024 5916828 6539652 6902966 7473888 7889104 8719536 8875242 10354449 11833656 13079304 13805932 15778208 17439072 17750484 20708898 23667312 26158608 27611864 31063347 35500968 41417796 47334624 52317216 55223728 62126694 71001936 82835592 110447456 124253388 142003872 165671184 248506776 331342368 497013552 994027104