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989089560 = 2332517915349
BaseRepresentation
bin111010111101000…
…100111100011000
32112221010221210200
4322331010330120
54011201331220
6242051342200
733340060014
oct7275047430
92487127720
10989089560
11468351698
122372b1960
13129bba0c4
149550b544
155bc78890
hex3af44f18

989089560 has 96 divisors (see below), whose sum is σ = 3232710000. Its totient is φ = 262266624.

The previous prime is 989089531. The next prime is 989089561. The reversal of 989089560 is 65980989.

It is a junction number, because it is equal to n+sod(n) for n = 989089497 and 989089506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989089561) 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, 56766 + ... + 72114.

Almost surely, 2989089560 is an apocalyptic number.

989089560 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 989089560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616355000).

989089560 is an abundant number, since it is smaller than the sum of its proper divisors (2243620440).

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

989089560 is a wasteful number, since it uses less digits than its factorization.

989089560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15545 (or 15538 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 989089560 is about 31449.7942759567. The cubic root of 989089560 is about 996.3498794976.

The spelling of 989089560 in words is "nine hundred eighty-nine million, eighty-nine thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 179 180 358 360 537 716 895 1074 1432 1611 1790 2148 2685 3222 3580 4296 5370 6444 7160 8055 10740 12888 15349 16110 21480 30698 32220 46047 61396 64440 76745 92094 122792 138141 153490 184188 230235 276282 306980 368376 460470 552564 613960 690705 920940 1105128 1381410 1841880 2747471 2762820 5494942 5525640 8242413 10989884 13737355 16484826 21979768 24727239 27474710 32969652 41212065 49454478 54949420 65939304 82424130 98908956 109898840 123636195 164848260 197817912 247272390 329696520 494544780 989089560