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989276160 = 2113532203
BaseRepresentation
bin111010111101110…
…010100000000000
32112221111102202210
4322331302200000
54011223314120
6242055342120
733341465025
oct7275624000
92487442683
10989276160
11468469904
12237381940
13129c54012
149555954c
155bcb3ce0
hex3af72800

989276160 has 96 divisors (see below), whose sum is σ = 3165009120. Its totient is φ = 263798784.

The previous prime is 989276143. The next prime is 989276191. The reversal of 989276160 is 61672989.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14619 + ... + 46821.

It is an arithmetic number, because the mean of its divisors is an integer number (32968845).

Almost surely, 2989276160 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 989276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582504560).

989276160 is an abundant number, since it is smaller than the sum of its proper divisors (2175732960).

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

989276160 is a wasteful number, since it uses less digits than its factorization.

989276160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32233 (or 32213 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 989276160 is about 31452.7607691280. The cubic root of 989276160 is about 996.4125321311.

The spelling of 989276160 in words is "nine hundred eighty-nine million, two hundred seventy-six thousand, one hundred sixty".

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 5120 6144 7680 10240 15360 30720 32203 64406 96609 128812 161015 193218 257624 322030 386436 483045 515248 644060 772872 966090 1030496 1288120 1545744 1932180 2060992 2576240 3091488 3864360 4121984 5152480 6182976 7728720 8243968 10304960 12365952 15457440 16487936 20609920 24731904 30914880 32975872 41219840 49463808 61829760 65951744 82439680 98927616 123659520 164879360 197855232 247319040 329758720 494638080 989276160