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989675520 = 214354027
BaseRepresentation
bin111010111111010…
…100000000000000
32112222020201120220
4322333110000000
54011324104040
6242112103040
733345050241
oct7277240000
92488221526
10989675520
11468711959
12237534a80
1312a063a22
1495620cc8
155bd422d0
hex3afd4000

989675520 has 120 divisors (see below), whose sum is σ = 3167651424. Its totient is φ = 263847936.

The previous prime is 989675513. The next prime is 989675521. The reversal of 989675520 is 25576989.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989675521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243747 + ... + 247773.

Almost surely, 2989675520 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 989675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583825712).

989675520 is an abundant number, since it is smaller than the sum of its proper divisors (2177975904).

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

989675520 is an equidigital number, since it uses as much as digits as its factorization.

989675520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4063 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The square root of 989675520 is about 31459.1086968465. The cubic root of 989675520 is about 996.5465943848.

The spelling of 989675520 in words is "nine hundred eighty-nine million, six hundred seventy-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4027 4096 5120 6144 7680 8054 8192 10240 12081 12288 15360 16108 16384 20135 20480 24162 24576 30720 32216 40270 40960 48324 49152 60405 61440 64432 80540 81920 96648 120810 122880 128864 161080 193296 241620 245760 257728 322160 386592 483240 515456 644320 773184 966480 1030912 1288640 1546368 1932960 2061824 2577280 3092736 3865920 4123648 5154560 6185472 7731840 8247296 10309120 12370944 15463680 16494592 20618240 24741888 30927360 32989184 41236480 49483776 61854720 65978368 82472960 98967552 123709440 164945920 197935104 247418880 329891840 494837760 989675520