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107645454 = 23272312127
BaseRepresentation
bin1100110101010…
…00101000001110
321111112221210200
412122220220032
5210024123304
614403114330
72444654100
oct632505016
9244487720
10107645454
1155843694
12300729a6
13193bc747
1410421570
1596b4e39
hex66a8a0e

107645454 has 108 divisors (see below), whose sum is σ = 282552192. Its totient is φ = 29529360.

The previous prime is 107645453. The next prime is 107645471. The reversal of 107645454 is 454546701.

107645454 is a `hidden beast` number, since 1 + 0 + 7 + 645 + 4 + 5 + 4 = 666.

It is a super-2 number, since 2×1076454542 = 23175087533732232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107645453) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 847539 + ... + 847665.

It is an arithmetic number, because the mean of its divisors is an integer number (2616224).

Almost surely, 2107645454 is an apocalyptic number.

107645454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107645454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141276096).

107645454 is an abundant number, since it is smaller than the sum of its proper divisors (174906738).

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

107645454 is a wasteful number, since it uses less digits than its factorization.

107645454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 107645454 is about 10375.2327202815. The cubic root of 107645454 is about 475.6986269924.

The spelling of 107645454 in words is "one hundred seven million, six hundred forty-five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 127 147 186 217 254 279 294 381 434 441 558 651 762 882 889 961 1143 1302 1519 1778 1922 1953 2286 2667 2883 3038 3906 3937 4557 5334 5766 6223 6727 7874 8001 8649 9114 11811 12446 13454 13671 16002 17298 18669 20181 23622 27342 27559 35433 37338 40362 47089 55118 56007 60543 70866 82677 94178 112014 121086 122047 141267 165354 192913 244094 248031 282534 366141 385826 423801 496062 578739 732282 847602 854329 1098423 1157478 1708658 1736217 2196846 2562987 3472434 5125974 5980303 7688961 11960606 15377922 17940909 35881818 53822727 107645454