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107187894 = 23311315821
BaseRepresentation
bin1100110001110…
…00111010110110
321110200201011000
412120320322312
5204420003034
614345224130
72441040102
oct630707266
9243621130
10107187894
1155560940
122ba92046
131928c3b8
1410342902
159624599
hex6638eb6

107187894 has 64 divisors (see below), whose sum is σ = 268277760. Its totient is φ = 31428000.

The previous prime is 107187893. The next prime is 107187901. The reversal of 107187894 is 498781701.

It is a super-2 number, since 2×1071878942 = 22978489240310472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107187893) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15504 + ... + 21324.

It is an arithmetic number, because the mean of its divisors is an integer number (4191840).

Almost surely, 2107187894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107187894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134138880).

107187894 is an abundant number, since it is smaller than the sum of its proper divisors (161089866).

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

107187894 is a wasteful number, since it uses less digits than its factorization.

107187894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 107187894 is about 10353.1586484512. The cubic root of 107187894 is about 475.0236649336.

The spelling of 107187894 in words is "one hundred seven million, one hundred eighty-seven thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1674 2046 3069 5821 6138 9207 11642 17463 18414 34926 52389 64031 104778 128062 157167 180451 192093 314334 360902 384186 541353 576279 1082706 1152558 1624059 1728837 1984961 3248118 3457674 3969922 4872177 5954883 9744354 11909766 17864649 35729298 53593947 107187894