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106236320 = 255663977
BaseRepresentation
bin1100101010100…
…00100110100000
321101220100211112
412111100212200
5204144030240
614313002452
72426664611
oct625204640
9241810745
10106236320
1154a70a13
122b6b3428
1319018238
1410175c08
1594d7665
hex65509a0

106236320 has 24 divisors (see below), whose sum is σ = 250983684. Its totient is φ = 42494464.

The previous prime is 106236313. The next prime is 106236329. The reversal of 106236320 is 23632601.

It can be written as a sum of positive squares in 2 ways, for example, as 102981904 + 3254416 = 10148^2 + 1804^2 .

It is a super-2 number, since 2×1062363202 = 22572311374284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106236329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 331829 + ... + 332148.

Almost surely, 2106236320 is an apocalyptic number.

106236320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106236320 is an abundant number, since it is smaller than the sum of its proper divisors (144747364).

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

106236320 is an equidigital number, since it uses as much as digits as its factorization.

106236320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663992 (or 663984 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 106236320 is about 10307.1004652133. The cubic root of 106236320 is about 473.6137904586.

Adding to 106236320 its reverse (23632601), we get a palindrome (129868921).

The spelling of 106236320 in words is "one hundred six million, two hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 663977 1327954 2655908 3319885 5311816 6639770 10623632 13279540 21247264 26559080 53118160 106236320