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990122616 = 23347231183
BaseRepresentation
bin111011000001000…
…001001001111000
32120000002102220000
4323001001021320
54011432410431
6242125433000
733351621600
oct7301011170
92500072800
10990122616
1146899785a
1223770b760
1312a18c392
14956d9c00
155bdce9e6
hex3b041278

990122616 has 120 divisors (see below), whose sum is σ = 3226140720. Its totient is φ = 282883104.

The previous prime is 990122599. The next prime is 990122647. The reversal of 990122616 is 616221099.

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 polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16161 + ... + 47343.

It is an arithmetic number, because the mean of its divisors is an integer number (26884506).

Almost surely, 2990122616 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 990122616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613070360).

990122616 is an abundant number, since it is smaller than the sum of its proper divisors (2236018104).

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

990122616 is a wasteful number, since it uses less digits than its factorization.

990122616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31215 (or 31195 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 990122616 is about 31466.2138809231. The cubic root of 990122616 is about 996.6966384850.

The spelling of 990122616 in words is "nine hundred ninety million, one hundred twenty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1764 2268 2646 3528 3969 4536 5292 7938 10584 15876 31183 31752 62366 93549 124732 187098 218281 249464 280647 374196 436562 561294 654843 748392 841941 873124 1122588 1309686 1527967 1683882 1746248 1964529 2245176 2525823 2619372 3055934 3367764 3929058 4583901 5051646 5238744 5893587 6111868 6735528 7858116 9167802 10103292 11787174 12223736 13751703 15716232 17680761 18335604 20206584 23574348 27503406 35361522 36671208 41255109 47148696 55006812 70723044 82510218 110013624 123765327 141446088 165020436 247530654 330040872 495061308 990122616