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107990190 = 232571115583
BaseRepresentation
bin1100110111111…
…00110010101110
321112012110200200
412123330302232
5210121141230
614414334330
72450621130
oct633746256
9245173620
10107990190
1155a596a0
12301ba3a6
13194b0629
14104b1050
159732160
hex66fccae

107990190 has 96 divisors (see below), whose sum is σ = 350078976. Its totient is φ = 22438080.

The previous prime is 107990173. The next prime is 107990213. The reversal of 107990190 is 91099701.

It is a super-2 number, since 2×1079901902 = 23323762272472200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 862 + ... + 14721.

It is an arithmetic number, because the mean of its divisors is an integer number (3646656).

Almost surely, 2107990190 is an apocalyptic number.

107990190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107990190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175039488).

107990190 is an abundant number, since it is smaller than the sum of its proper divisors (242088786).

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

107990190 is a wasteful number, since it uses less digits than its factorization.

107990190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15614 (or 15611 counting only the distinct ones).

The product of its (nonzero) digits is 5103, while the sum is 36.

The square root of 107990190 is about 10391.8328508497. The cubic root of 107990190 is about 476.2058962610.

The spelling of 107990190 in words is "one hundred seven million, nine hundred ninety thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 15583 31166 46749 77915 93498 109081 140247 155830 171413 218162 233745 280494 327243 342826 467490 514239 545405 654486 701235 857065 981729 1028478 1090810 1199891 1402470 1542717 1636215 1714130 1963458 2399782 2571195 3085434 3272430 3599673 4908645 5142390 5999455 7199346 7713585 9817290 10799019 11998910 15427170 17998365 21598038 35996730 53995095 107990190