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96180390 = 232517371699
BaseRepresentation
bin1011011101110…
…01100010100110
320200222110200200
411232321202212
5144110233030
613313251330
72245343205
oct556714246
9220873620
1096180390
114a322829
1228263b46
1316c07097
14cab923c
15869cd60
hex5bb98a6

96180390 has 96 divisors (see below), whose sum is σ = 272095200. Its totient is φ = 23473152.

The previous prime is 96180307. The next prime is 96180421. The reversal of 96180390 is 9308169.

96180390 is a `hidden beast` number, since 9 + 618 + 0 + 39 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55761 + ... + 57459.

It is an arithmetic number, because the mean of its divisors is an integer number (2834325).

Almost surely, 296180390 is an apocalyptic number.

96180390 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96180390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136047600).

96180390 is an abundant number, since it is smaller than the sum of its proper divisors (175914810).

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

96180390 is a wasteful number, since it uses less digits than its factorization.

96180390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 96180390 is about 9807.1601394083. The cubic root of 96180390 is about 458.1723161853.

The spelling of 96180390 in words is "ninety-six million, one hundred eighty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 37 45 51 74 85 90 102 111 153 170 185 222 255 306 333 370 510 555 629 666 765 1110 1258 1530 1665 1699 1887 3145 3330 3398 3774 5097 5661 6290 8495 9435 10194 11322 15291 16990 18870 25485 28305 28883 30582 50970 56610 57766 62863 76455 86649 125726 144415 152910 173298 188589 259947 288830 314315 377178 433245 519894 565767 628630 866490 942945 1068671 1131534 1299735 1885890 2137342 2599470 2828835 3206013 5343355 5657670 6412026 9618039 10686710 16030065 19236078 32060130 48090195 96180390