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107739846 = 23217379929
BaseRepresentation
bin1100110101111…
…11101011000110
321111201202021200
412122333223012
5210040133341
614405123330
72445526224
oct632775306
9244652250
10107739846
11558a85a5
12300b9546
13194236b6
1410447b14
1596d2db6
hex66bfac6

107739846 has 48 divisors (see below), whose sum is σ = 248086800. Its totient is φ = 33675264.

The previous prime is 107739833. The next prime is 107739869. The reversal of 107739846 is 648937701.

It is a super-2 number, since 2×1077398462 = 23215748832207432, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 115510 + ... + 116438.

It is an arithmetic number, because the mean of its divisors is an integer number (5168475).

Almost surely, 2107739846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107739846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124043400).

107739846 is an abundant number, since it is smaller than the sum of its proper divisors (140346954).

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

107739846 is a wasteful number, since it uses less digits than its factorization.

107739846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 107739846 is about 10379.7806335202. The cubic root of 107739846 is about 475.8376296935.

It can be divided in two parts, 1077398 and 46, that added together give a square (1077444 = 10382).

The spelling of 107739846 in words is "one hundred seven million, seven hundred thirty-nine thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 379 758 929 1137 1858 2274 2787 3411 5574 6443 6822 8361 12886 15793 16722 19329 31586 38658 47379 57987 94758 115974 142137 284274 352091 704182 1056273 2112546 3168819 5985547 6337638 11971094 17956641 35913282 53869923 107739846