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107226680 = 23511379643
BaseRepresentation
bin1100110010000…
…10011000111000
321110202200100112
412121002120320
5204422223210
614350123452
72441261141
oct631023070
9243680315
10107226680
1155587aa0
122bab0588
13192a3c52
1410352ac8
159630d05
hex6642638

107226680 has 64 divisors (see below), whose sum is σ = 264297600. Its totient is φ = 38828160.

The previous prime is 107226677. The next prime is 107226689. The reversal of 107226680 is 86622701.

It is a super-2 number, since 2×1072266802 = 22995121807644800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107226689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166439 + ... + 167081.

It is an arithmetic number, because the mean of its divisors is an integer number (4129650).

Almost surely, 2107226680 is an apocalyptic number.

107226680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107226680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132148800).

107226680 is an abundant number, since it is smaller than the sum of its proper divisors (157070920).

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

107226680 is a wasteful number, since it uses less digits than its factorization.

107226680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 107226680 is about 10355.0316271849. The cubic root of 107226680 is about 475.0809538847.

The spelling of 107226680 in words is "one hundred seven million, two hundred twenty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 379 440 643 758 1286 1516 1895 2572 3032 3215 3790 4169 5144 6430 7073 7580 8338 12860 14146 15160 16676 20845 25720 28292 33352 35365 41690 56584 70730 83380 141460 166760 243697 282920 487394 974788 1218485 1949576 2436970 2680667 4873940 5361334 9747880 10722668 13403335 21445336 26806670 53613340 107226680