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189931280 = 24571122803
BaseRepresentation
bin10110101001000…
…01111100010000
3111020101111201212
423110201330100
5342110300110
630502515252
74464250340
oct1324417420
9436344655
10189931280
1198236200
1253735b28
1330470396
141b320d20
1511a1ae05
hexb521f10

189931280 has 120 divisors (see below), whose sum is σ = 554922816. Its totient is φ = 59178240.

The previous prime is 189931243. The next prime is 189931303. The reversal of 189931280 is 82139981.

It is a super-2 number, since 2×1899312802 = 72147782244876800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66359 + ... + 69161.

Almost surely, 2189931280 is an apocalyptic number.

189931280 is a gapful number since it is divisible by the number (10) 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 189931280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277461408).

189931280 is an abundant number, since it is smaller than the sum of its proper divisors (364991536).

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

189931280 is a wasteful number, since it uses less digits than its factorization.

189931280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 41.

The square root of 189931280 is about 13781.5557902582. Note that the first 3 decimals coincide. The cubic root of 189931280 is about 574.8203900267.

The spelling of 189931280 in words is "one hundred eighty-nine million, nine hundred thirty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 121 140 154 176 220 242 280 308 385 440 484 560 605 616 770 847 880 968 1210 1232 1540 1694 1936 2420 2803 3080 3388 4235 4840 5606 6160 6776 8470 9680 11212 13552 14015 16940 19621 22424 28030 30833 33880 39242 44848 56060 61666 67760 78484 98105 112120 123332 154165 156968 196210 215831 224240 246664 308330 313936 339163 392420 431662 493328 616660 678326 784840 863324 1079155 1233320 1356652 1569680 1695815 1726648 2158310 2374141 2466640 2713304 3391630 3453296 4316620 4748282 5426608 6783260 8633240 9496564 11870705 13566520 17266480 18993128 23741410 27133040 37986256 47482820 94965640 189931280