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990799104 = 2834727449
BaseRepresentation
bin111011000011100…
…110010100000000
32120001100210212010
4323003212110000
54012121032404
6242152132520
733360440061
oct7303462400
92501323763
10990799104
1146930a039
12237997140
1312a368279
1495834568
155beb5189
hex3b0e6500

990799104 has 72 divisors (see below), whose sum is σ = 2693174400. Its totient is φ = 323227648.

The previous prime is 990799097. The next prime is 990799171. The reversal of 990799104 is 401997099.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22372 + ... + 49820.

It is an arithmetic number, because the mean of its divisors is an integer number (37405200).

Almost surely, 2990799104 is an apocalyptic number.

990799104 is a gapful number since it is divisible by the number (94) 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 990799104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346587200).

990799104 is an abundant number, since it is smaller than the sum of its proper divisors (1702375296).

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

990799104 is a wasteful number, since it uses less digits than its factorization.

990799104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27515 (or 27501 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 48.

The square root of 990799104 is about 31476.9614797871. The cubic root of 990799104 is about 996.9235800122.

The spelling of 990799104 in words is "nine hundred ninety million, seven hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 564 752 768 1128 1504 2256 3008 4512 6016 9024 12032 18048 27449 36096 54898 82347 109796 164694 219592 329388 439184 658776 878368 1290103 1317552 1756736 2580206 2635104 3513472 3870309 5160412 5270208 7026944 7740618 10320824 10540416 15481236 20641648 21080832 30962472 41283296 61924944 82566592 123849888 165133184 247699776 330266368 495399552 990799104