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107231296 = 2653101313
BaseRepresentation
bin1100110010000…
…11100001000000
321110202220200111
412121003201000
5204422400141
614350201104
72441310454
oct631034100
9243686614
10107231296
1155590507
122bab3194
13192a6093
1410354664
159632381
hex6643840

107231296 has 56 divisors (see below), whose sum is σ = 219648024. Its totient is φ = 51916800.

The previous prime is 107231249. The next prime is 107231309. The reversal of 107231296 is 692132701.

It can be written as a sum of positive squares in 4 ways, for example, as 20070400 + 87160896 = 4480^2 + 9336^2 .

It is a super-2 number, since 2×1072312962 = 22997101683679232, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342436 + ... + 342748.

Almost surely, 2107231296 is an apocalyptic number.

107231296 is a gapful number since it is divisible by the number (16) 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 107231296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109824012).

107231296 is an abundant number, since it is smaller than the sum of its proper divisors (112416728).

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

107231296 is a wasteful number, since it uses less digits than its factorization.

107231296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 107231296 is about 10355.2545115994. The cubic root of 107231296 is about 475.0877710382.

Adding to 107231296 its reverse (692132701), we get a palindrome (799363997).

The spelling of 107231296 in words is "one hundred seven million, two hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 53 64 101 106 202 212 313 404 424 626 808 848 1252 1616 1696 2504 3232 3392 5008 5353 6464 10016 10706 16589 20032 21412 31613 33178 42824 63226 66356 85648 126452 132712 171296 252904 265424 342592 505808 530848 1011616 1061696 1675489 2023232 3350978 6701956 13403912 26807824 53615648 107231296