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187330968 = 23341141641
BaseRepresentation
bin10110010101001…
…11000110011000
3111001111101210000
423022213012120
5340424042333
630331053000
74433200266
oct1312470630
9431441700
10187330968
119681a590
12528a1160
132ca6c936
141ac45436
15116a5713
hexb2a7198

187330968 has 160 divisors (see below), whose sum is σ = 587275920. Its totient is φ = 55296000.

The previous prime is 187330951. The next prime is 187330993. The reversal of 187330968 is 869033781.

It is a happy number.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 291928 + ... + 292568.

Almost surely, 2187330968 is an apocalyptic number.

187330968 is a gapful number since it is divisible by the number (18) 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 187330968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293637960).

187330968 is an abundant number, since it is smaller than the sum of its proper divisors (399944952).

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

187330968 is a wasteful number, since it uses less digits than its factorization.

187330968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 187330968 is about 13686.8903699854. The cubic root of 187330968 is about 572.1850754882.

The spelling of 187330968 in words is "one hundred eighty-seven million, three hundred thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 41 44 54 66 72 81 82 88 99 108 123 132 162 164 198 216 246 264 297 324 328 369 396 451 492 594 641 648 738 792 891 902 984 1107 1188 1282 1353 1476 1782 1804 1923 2214 2376 2564 2706 2952 3321 3564 3608 3846 4059 4428 5128 5412 5769 6642 7051 7128 7692 8118 8856 10824 11538 12177 13284 14102 15384 16236 17307 21153 23076 24354 26281 26568 28204 32472 34614 36531 42306 46152 48708 51921 52562 56408 63459 69228 73062 78843 84612 97416 103842 105124 126918 138456 146124 157686 169224 190377 207684 210248 236529 253836 289091 292248 315372 380754 415368 473058 507672 571131 578182 630744 709587 761508 867273 946116 1142262 1156364 1419174 1523016 1734546 1892232 2128761 2284524 2312728 2601819 2838348 3469092 4257522 4569048 5203638 5676696 6938184 7805457 8515044 10407276 15610914 17030088 20814552 23416371 31221828 46832742 62443656 93665484 187330968