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107299896 = 2331133359
BaseRepresentation
bin1100110010101…
…00010000111000
321110220101210020
412121110100320
5204432044041
614351450440
72442014454
oct631242070
9243811706
10107299896
1155628000
122bb26a20
13192cb382
1410371664
159647866
hex6654438

107299896 has 64 divisors (see below), whose sum is σ = 295142400. Its totient is φ = 32505440.

The previous prime is 107299891. The next prime is 107299909. The reversal of 107299896 is 698992701.

It is a happy number.

It is a super-2 number, since 2×1072998962 = 23026535363221632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107299891) 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, 30265 + ... + 33623.

It is an arithmetic number, because the mean of its divisors is an integer number (4611600).

Almost surely, 2107299896 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 107299896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147571200).

107299896 is an abundant number, since it is smaller than the sum of its proper divisors (187842504).

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

107299896 is a wasteful number, since it uses less digits than its factorization.

107299896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 107299896 is about 10358.5663100643. The cubic root of 107299896 is about 475.1890601048.

It can be divided in two parts, 107 and 299896, that added together give a palindrome (300003).

The spelling of 107299896 in words is "one hundred seven million, two hundred ninety-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1331 1452 2662 2904 3359 3993 5324 6718 7986 10077 10648 13436 15972 20154 26872 31944 36949 40308 73898 80616 110847 147796 221694 295592 406439 443388 812878 886776 1219317 1625756 2438634 3251512 4470829 4877268 8941658 9754536 13412487 17883316 26824974 35766632 53649948 107299896