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107201514 = 23721632237
BaseRepresentation
bin1100110001111…
…00001111101010
321110201101211110
412120330033222
5204420422024
614345411150
72441124600
oct630741752
9243641743
10107201514
11555700a2
122ba99ab6
1319295664
1410347870
159628629
hex663c3ea

107201514 has 48 divisors (see below), whose sum is σ = 251049888. Its totient is φ = 30427488.

The previous prime is 107201491. The next prime is 107201519. The reversal of 107201514 is 415102701.

It is a happy number.

It is a super-2 number, since 2×1072015142 = 22984329207784392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107201519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46804 + ... + 49040.

It is an arithmetic number, because the mean of its divisors is an integer number (5230206).

Almost surely, 2107201514 is an apocalyptic number.

107201514 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 107201514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125524944).

107201514 is an abundant number, since it is smaller than the sum of its proper divisors (143848374).

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

107201514 is a wasteful number, since it uses less digits than its factorization.

107201514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 107201514 is about 10353.8163978313. The cubic root of 107201514 is about 475.0437839603.

The spelling of 107201514 in words is "one hundred seven million, two hundred one thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 163 294 326 489 978 1141 2237 2282 3423 4474 6711 6846 7987 13422 15659 15974 23961 31318 46977 47922 93954 109613 219226 328839 364631 657678 729262 1093893 2187786 2552417 5104834 7657251 15314502 17866919 35733838 53600757 107201514