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989641440 = 253255312967
BaseRepresentation
bin111010111111001…
…011101011100000
32112222011222211200
4322333023223200
54011322011230
6242111241200
733344546004
oct7277135340
92488158750
10989641440
11468699297
12237519200
1312a051368
1495612704
155bd37160
hex3afcbae0

989641440 has 144 divisors (see below), whose sum is σ = 3441136608. Its totient is φ = 258905088.

The previous prime is 989641439. The next prime is 989641441. The reversal of 989641440 is 44146989.

It is an interprime number because it is at equal distance from previous prime (989641439) and next prime (989641441).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989641441) 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, 69837 + ... + 82803.

It is an arithmetic number, because the mean of its divisors is an integer number (23896782).

Almost surely, 2989641440 is an apocalyptic number.

989641440 is a gapful number since it is divisible by the number (90) 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 989641440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720568304).

989641440 is an abundant number, since it is smaller than the sum of its proper divisors (2451495168).

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

989641440 is a wasteful number, since it uses less digits than its factorization.

989641440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13041 (or 13030 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 989641440 is about 31458.5670366595. The cubic root of 989641440 is about 996.5351553838.

The spelling of 989641440 in words is "nine hundred eighty-nine million, six hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 80 90 96 106 120 144 159 160 180 212 240 265 288 318 360 424 477 480 530 636 720 795 848 954 1060 1272 1440 1590 1696 1908 2120 2385 2544 3180 3816 4240 4770 5088 6360 7632 8480 9540 12720 12967 15264 19080 25440 25934 38160 38901 51868 64835 76320 77802 103736 116703 129670 155604 194505 207472 233406 259340 311208 389010 414944 466812 518680 583515 622416 687251 778020 933624 1037360 1167030 1244832 1374502 1556040 1867248 2061753 2074720 2334060 2749004 3112080 3436255 3734496 4123506 4668120 5498008 6185259 6224160 6872510 8247012 9336240 10308765 10996016 12370518 13745020 16494024 18672480 20617530 21992032 24741036 27490040 30926295 32988048 41235060 49482072 54980080 61852590 65976096 82470120 98964144 109960160 123705180 164940240 197928288 247410360 329880480 494820720 989641440