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107246240 = 25523151193
BaseRepresentation
bin1100110010001…
…11001010100000
321110210200011222
412121013022200
5204423334430
614350354212
72441402153
oct631071240
9243720158
10107246240
11555a0762
122babb968
13192acb1a
1410359c9a
1596369e5
hex66472a0

107246240 has 96 divisors (see below), whose sum is σ = 267515136. Its totient is φ = 40550400.

The previous prime is 107246233. The next prime is 107246261. The reversal of 107246240 is 42642701.

It is an unprimeable number.

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, 555584 + ... + 555776.

It is an arithmetic number, because the mean of its divisors is an integer number (2786616).

Almost surely, 2107246240 is an apocalyptic number.

107246240 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 107246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133757568).

107246240 is an abundant number, since it is smaller than the sum of its proper divisors (160268896).

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

107246240 is a wasteful number, since it uses less digits than its factorization.

107246240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 107246240 is about 10355.9760525022. The cubic root of 107246240 is about 475.1098397878.

Adding to 107246240 its reverse (42642701), we get a palindrome (149888941).

The spelling of 107246240 in words is "one hundred seven million, two hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 151 160 184 193 230 302 368 386 460 604 736 755 772 920 965 1208 1510 1544 1840 1930 2416 3020 3088 3473 3680 3860 4439 4832 6040 6176 6946 7720 8878 12080 13892 15440 17365 17756 22195 24160 27784 29143 30880 34730 35512 44390 55568 58286 69460 71024 88780 111136 116572 138920 142048 145715 177560 233144 277840 291430 355120 466288 555680 582860 670289 710240 932576 1165720 1340578 2331440 2681156 3351445 4662880 5362312 6702890 10724624 13405780 21449248 26811560 53623120 107246240