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109287960 = 23354197229
BaseRepresentation
bin1101000001110…
…01101000011000
321121122101220020
412200321220120
5210434203320
614502230440
72464634535
oct640715030
9247571806
10109287960
1156765731
1230725420
1319846242
141072bd8c
1598db940
hex6839a18

109287960 has 128 divisors (see below), whose sum is σ = 340804800. Its totient is φ = 28016640.

The previous prime is 109287949. The next prime is 109287991. The reversal of 109287960 is 69782901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477126 + ... + 477354.

Almost surely, 2109287960 is an apocalyptic number.

109287960 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 109287960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170402400).

109287960 is an abundant number, since it is smaller than the sum of its proper divisors (231516840).

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

109287960 is a wasteful number, since it uses less digits than its factorization.

109287960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 109287960 is about 10454.0881955338. The cubic root of 109287960 is about 478.1059037185.

The spelling of 109287960 in words is "one hundred nine million, two hundred eighty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 97 120 123 164 194 205 229 246 291 328 388 410 458 485 492 582 615 687 776 820 916 970 984 1145 1164 1230 1374 1455 1640 1832 1940 2290 2328 2460 2748 2910 3435 3880 3977 4580 4920 5496 5820 6870 7954 9160 9389 11640 11931 13740 15908 18778 19885 22213 23862 27480 28167 31816 37556 39770 44426 46945 47724 56334 59655 66639 75112 79540 88852 93890 95448 111065 112668 119310 133278 140835 159080 177704 187780 222130 225336 238620 266556 281670 333195 375560 444260 477240 533112 563340 666390 888520 910733 1126680 1332780 1821466 2665560 2732199 3642932 4553665 5464398 7285864 9107330 10928796 13660995 18214660 21857592 27321990 36429320 54643980 109287960