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990916608 = 2123117331
BaseRepresentation
bin111011000100000…
…011000000000000
32120001120210001010
4323010003000000
54012133312413
6242154440520
733361436463
oct7304030000
92501523033
10990916608
1146938a350
12237a33140
1312a3a98b6
14958652da
155bed9dc3
hex3b103000

990916608 has 104 divisors (see below), whose sum is σ = 2882707776. Its totient is φ = 300236800.

The previous prime is 990916601. The next prime is 990916637. The reversal of 990916608 is 806619099.

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

It is not an unprimeable number, because it can be changed into a prime (990916601) 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, 131503 + ... + 138833.

It is an arithmetic number, because the mean of its divisors is an integer number (27718344).

Almost surely, 2990916608 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 990916608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441353888).

990916608 is an abundant number, since it is smaller than the sum of its proper divisors (1891791168).

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

990916608 is a wasteful number, since it uses less digits than its factorization.

990916608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7369 (or 7347 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 990916608 is about 31478.8279324374. The cubic root of 990916608 is about 996.9629885654.

The spelling of 990916608 in words is "nine hundred ninety million, nine hundred sixteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4096 4224 5632 6144 7331 8448 11264 12288 14662 16896 21993 22528 29324 33792 43986 45056 58648 67584 80641 87972 117296 135168 161282 175944 234592 241923 322564 351888 469184 483846 645128 703776 938368 967692 1290256 1407552 1876736 1935384 2580512 2815104 3753472 3870768 5161024 5630208 7506944 7741536 10322048 11260416 15013888 15483072 20644096 22520832 30027776 30966144 41288192 45041664 61932288 82576384 90083328 123864576 165152768 247729152 330305536 495458304 990916608