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289096940 = 2251129113401
BaseRepresentation
bin10001001110110…
…100010011101100
3202010222122110002
4101032310103230
51043002100230
644404203432
710110166136
oct2116642354
9663878402
10289096940
111392078a0
1280999578
1347b811a2
142a576056
151a5a8545
hex113b44ec

289096940 has 96 divisors (see below), whose sum is σ = 692919360. Its totient is φ = 100352000.

The previous prime is 289096939. The next prime is 289096949. The reversal of 289096940 is 49690982.

It is not an unprimeable number, because it can be changed into a prime (289096949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 720740 + ... + 721140.

It is an arithmetic number, because the mean of its divisors is an integer number (7217910).

Almost surely, 2289096940 is an apocalyptic number.

289096940 is a gapful number since it is divisible by the number (20) 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 289096940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346459680).

289096940 is an abundant number, since it is smaller than the sum of its proper divisors (403822420).

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

289096940 is a wasteful number, since it uses less digits than its factorization.

289096940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 47.

The square root of 289096940 is about 17002.8509374163. The cubic root of 289096940 is about 661.2228171973. Note that the first 3 decimals are identical.

The spelling of 289096940 in words is "two hundred eighty-nine million, ninety-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 113 116 145 220 226 290 319 401 452 565 580 638 802 1130 1243 1276 1595 1604 2005 2260 2486 3190 3277 4010 4411 4972 6215 6380 6554 8020 8822 11629 12430 13108 16385 17644 22055 23258 24860 32770 36047 44110 45313 46516 58145 65540 72094 88220 90626 116290 127919 144188 180235 181252 226565 232580 255838 360470 453130 498443 511676 639595 720940 906260 996886 1279190 1314077 1993772 2492215 2558380 2628154 4984430 5256308 6570385 9968860 13140770 14454847 26281540 28909694 57819388 72274235 144548470 289096940