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889327920 = 243513299829
BaseRepresentation
bin110101000000100…
…001000100110000
32021222102112120010
4311000201010300
53310131443140
6224125214520
731016106525
oct6500410460
92258375503
10889327920
11417003258
12209a01440
1311232ac50
148617d14c
155311e880
hex35021130

889327920 has 160 divisors (see below), whose sum is σ = 3071678400. Its totient is φ = 211341312.

The previous prime is 889327909. The next prime is 889327921. The reversal of 889327920 is 29723988.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 889327920.

It is not an unprimeable number, because it can be changed into a prime (889327921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85566 + ... + 95394.

It is an arithmetic number, because the mean of its divisors is an integer number (19197990).

Almost surely, 2889327920 is an apocalyptic number.

889327920 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 889327920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535839200).

889327920 is an abundant number, since it is smaller than the sum of its proper divisors (2182350480).

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

889327920 is a wasteful number, since it uses less digits than its factorization.

889327920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9887 (or 9881 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 889327920 is about 29821.6015666496. The cubic root of 889327920 is about 961.6579855916.

The spelling of 889327920 in words is "eight hundred eighty-nine million, three hundred twenty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 39 40 48 52 58 60 65 78 80 87 104 116 120 130 145 156 174 195 208 232 240 260 290 312 348 377 390 435 464 520 580 624 696 754 780 870 1040 1131 1160 1392 1508 1560 1740 1885 2262 2320 3016 3120 3480 3770 4524 5655 6032 6960 7540 9048 9829 11310 15080 18096 19658 22620 29487 30160 39316 45240 49145 58974 78632 90480 98290 117948 127777 147435 157264 196580 235896 255554 285041 294870 383331 393160 471792 511108 570082 589740 638885 766662 786320 855123 1022216 1140164 1179480 1277770 1425205 1533324 1710246 1916655 2044432 2280328 2358960 2555540 2850410 3066648 3420492 3705533 3833310 4275615 4560656 5111080 5700820 6133296 6840984 7411066 7666620 8551230 10222160 11116599 11401640 13681968 14822132 15333240 17102460 18527665 22233198 22803280 29644264 30666480 34204920 37055330 44466396 55582995 59288528 68409840 74110660 88932792 111165990 148221320 177865584 222331980 296442640 444663960 889327920