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107738512 = 24719197257
BaseRepresentation
bin1100110101111…
…11010110010000
321111201200110021
412122333112100
5210040113022
614405113224
72445522310
oct632772620
9244650407
10107738512
11558a75a2
12300b8814
1319422bcb
1410447440
1596d27c7
hex66bf590

107738512 has 80 divisors (see below), whose sum is σ = 253376640. Its totient is φ = 43352064.

The previous prime is 107738459. The next prime is 107738549. The reversal of 107738512 is 215837701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419088 + ... + 419344.

It is an arithmetic number, because the mean of its divisors is an integer number (3167208).

Almost surely, 2107738512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107738512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126688320).

107738512 is an abundant number, since it is smaller than the sum of its proper divisors (145638128).

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

107738512 is a wasteful number, since it uses less digits than its factorization.

107738512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The square root of 107738512 is about 10379.7163737744. The cubic root of 107738512 is about 475.8356657961.

It can be divided in two parts, 10773 and 8512, that multiplied together give a square (91699776 = 95762).

The spelling of 107738512 in words is "one hundred seven million, seven hundred thirty-eight thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 197 257 266 304 394 514 532 788 1028 1064 1379 1576 1799 2056 2128 2758 3152 3598 3743 4112 4883 5516 7196 7486 9766 11032 14392 14972 19532 22064 26201 28784 29944 34181 39064 50629 52402 59888 68362 78128 101258 104804 136724 202516 209608 273448 354403 405032 419216 546896 708806 810064 961951 1417612 1923902 2835224 3847804 5670448 6733657 7695608 13467314 15391216 26934628 53869256 107738512