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107319212 = 22731113547
BaseRepresentation
bin1100110010110…
…00111110101100
321110221101021122
412121120332230
5204433203322
614352120112
72442125000
oct631307654
9243841248
10107319212
1155640570
122bb36038
13193070c0
1410378700
15964d442
hex6658fac

107319212 has 96 divisors (see below), whose sum is σ = 257779200. Its totient is φ = 38525760.

The previous prime is 107319211. The next prime is 107319217. The reversal of 107319212 is 212913701.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (107319211) 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, 195923 + ... + 196469.

It is an arithmetic number, because the mean of its divisors is an integer number (2685200).

Almost surely, 2107319212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107319212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128889600).

107319212 is an abundant number, since it is smaller than the sum of its proper divisors (150459988).

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

107319212 is a wasteful number, since it uses less digits than its factorization.

107319212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 107319212 is about 10359.4986365171. The cubic root of 107319212 is about 475.2175727176.

The spelling of 107319212 in words is "one hundred seven million, three hundred nineteen thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 343 364 539 547 572 637 686 1001 1078 1094 1274 1372 2002 2156 2188 2548 3773 3829 4004 4459 6017 7007 7111 7546 7658 8918 12034 14014 14222 15092 15316 17836 24068 26803 28028 28444 42119 49049 49777 53606 78221 84238 98098 99554 107212 156442 168476 187621 196196 199108 294833 312884 348439 375242 547547 589666 696878 750484 1095094 1179332 1393756 2063831 2190188 2439073 3832829 4127662 4878146 7665658 8255324 9756292 15331316 26829803 53659606 107319212