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990289152 = 283515919
BaseRepresentation
bin111011000001101…
…001110100000000
32120000101220100000
4323001221310000
54012003223102
6242133200000
733353214246
oct7301516400
92500356300
10990289152
11468aa0996
12237790000
1312a21a118
1495740796
155be1401c
hex3b069d00

990289152 has 108 divisors (see below), whose sum is σ = 2961183680. Its totient is φ = 330075648.

The previous prime is 990289147. The next prime is 990289159. The reversal of 990289152 is 251982099.

It is a tau number, because it is divible by the number of its divisors (108).

It is a junction number, because it is equal to n+sod(n) for n = 990289098 and 990289107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990289159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54249 + ... + 70167.

Almost surely, 2990289152 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 990289152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480591840).

990289152 is an abundant number, since it is smaller than the sum of its proper divisors (1970894528).

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

990289152 is an equidigital number, since it uses as much as digits as its factorization.

990289152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15950 (or 15924 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 990289152 is about 31468.8600365504. The cubic root of 990289152 is about 996.7525159300.

The spelling of 990289152 in words is "nine hundred ninety million, two hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15552 15919 20736 31104 31838 47757 62208 63676 95514 127352 143271 191028 254704 286542 382056 429813 509408 573084 764112 859626 1018816 1146168 1289439 1528224 1719252 2037632 2292336 2578878 3056448 3438504 3868317 4075264 4584672 5157756 6112896 6877008 7736634 9169344 10315512 12225792 13754016 15473268 18338688 20631024 27508032 30946536 36677376 41262048 55016064 61893072 82524096 110032128 123786144 165048192 247572288 330096384 495144576 990289152