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989105900 = 2252172920063
BaseRepresentation
bin111010111101001…
…000111011101100
32112221011210012212
4322331020323230
54011202342100
6242051545552
733340155446
oct7275107354
92487153185
10989105900
114683629a2
122372bb2b8
13129bc4683
1495513496
155bc7d635
hex3af48eec

989105900 has 72 divisors (see below), whose sum is σ = 2351099520. Its totient is φ = 359511040.

The previous prime is 989105891. The next prime is 989105903. The reversal of 989105900 is 9501989.

It is not an unprimeable number, because it can be changed into a prime (989105903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39269 + ... + 59331.

It is an arithmetic number, because the mean of its divisors is an integer number (32654160).

Almost surely, 2989105900 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 989105900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175549760).

989105900 is an abundant number, since it is smaller than the sum of its proper divisors (1361993620).

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

989105900 is a wasteful number, since it uses less digits than its factorization.

989105900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20123 (or 20116 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 41.

The square root of 989105900 is about 31450.0540540076. The cubic root of 989105900 is about 996.3553661148.

The spelling of 989105900 in words is "nine hundred eighty-nine million, one hundred five thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 290 340 425 493 580 725 850 986 1450 1700 1972 2465 2900 4930 9860 12325 20063 24650 40126 49300 80252 100315 200630 341071 401260 501575 581827 682142 1003150 1163654 1364284 1705355 2006300 2327308 2909135 3410710 5818270 6821420 8526775 9891059 11636540 14545675 17053550 19782118 29091350 34107100 39564236 49455295 58182700 98910590 197821180 247276475 494552950 989105900