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889631120 = 24574138747
BaseRepresentation
bin110101000001101…
…011000110010000
32021222222221110202
4311001223012100
53310221143440
6224135514332
731021511510
oct6501530620
92258887422
10889631120
114171a0034
12209b289a8
13112405c61
148621b840
155317e615
hex3506b190

889631120 has 80 divisors (see below), whose sum is σ = 2421595008. Its totient is φ = 297569280.

The previous prime is 889631111. The next prime is 889631123. The reversal of 889631120 is 21136988.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (889631123) 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, 3587 + ... + 42333.

Almost surely, 2889631120 is an apocalyptic number.

889631120 is a gapful number since it is divisible by the number (80) 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 889631120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210797504).

889631120 is an abundant number, since it is smaller than the sum of its proper divisors (1531963888).

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

889631120 is a wasteful number, since it uses less digits than its factorization.

889631120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38808 (or 38802 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 889631120 is about 29826.6846967611. The cubic root of 889631120 is about 961.7672597094.

The spelling of 889631120 in words is "eight hundred eighty-nine million, six hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4592 5740 11480 22960 38747 77494 154988 193735 271229 309976 387470 542458 619952 774940 1084916 1356145 1549880 1588627 2169832 2712290 3099760 3177254 4339664 5424580 6354508 7943135 10849160 11120389 12709016 15886270 21698320 22240778 25418032 31772540 44481556 55601945 63545080 88963112 111203890 127090160 177926224 222407780 444815560 889631120