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2989440 = 27335173
BaseRepresentation
bin1011011001110110000000
312121212202000
423121312000
51231130230
6144024000
734260366
oct13316600
95555660
102989440
111762013
121002000
138088cc
1457b636
153e0b60
hex2d9d80

2989440 has 128 divisors (see below), whose sum is σ = 10648800. Its totient is φ = 792576.

The previous prime is 2989429. The next prime is 2989447. The reversal of 2989440 is 449892.

It is a happy number.

It is a Cunningham number, because it is equal to 17292-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2989395 and 2989404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2989447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17194 + ... + 17366.

22989440 is an apocalyptic number.

2989440 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 2989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5324400).

2989440 is an abundant number, since it is smaller than the sum of its proper divisors (7659360).

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

2989440 is a wasteful number, since it uses less digits than its factorization.

2989440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2989440 is about 1728.9997108155. Note that the first 3 decimals coincide. The cubic root of 2989440 is about 144.0555341359.

The spelling of 2989440 in words is "two million, nine hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 173 180 192 216 240 270 288 320 346 360 384 432 480 519 540 576 640 692 720 864 865 960 1038 1080 1152 1384 1440 1557 1728 1730 1920 2076 2160 2595 2768 2880 3114 3456 3460 4152 4320 4671 5190 5536 5760 6228 6920 7785 8304 8640 9342 10380 11072 12456 13840 15570 16608 17280 18684 20760 22144 23355 24912 27680 31140 33216 37368 41520 46710 49824 55360 62280 66432 74736 83040 93420 99648 110720 124560 149472 166080 186840 199296 249120 298944 332160 373680 498240 597888 747360 996480 1494720 2989440